HCF (Highest Common Factor) Worksheet for CBSE/ICSE Students

 


Top HCF Worksheet for Competitive and School Exams


📗 Factors and Multiples (1–25)

  1. List all factors of 24.

  2. Write the first 5 multiples of 8.

  3. What is the smallest factor of 55 other than 1?

  4. Find the common factors of 18 and 60.

  5. List all the factors of 20.

  6. Is 20 a multiple of 3?

  7. Write the 5th multiple of 9.

  8. List the first 6 multiples of 6.

  9. Write all factors of 12.

  10. Write all factors of 65.

  11. What is the largest factor of 10?

  12. Is 24 a multiple of 5?

  13. Find all the factors of 3.

  14. List all the factors of 11.

  15. List all factors of 90.

  16. Is 1 a factor of 20?

  17. Is 3 a factor of 54?

  18. Are 3 and 15 both factors of 54?

  19. What is the smallest multiple of 12?

  20. Write all the common multiples of 6 and 15 up to 60.

  21. Is 351 divisible by 13?

  22. Find the smallest factor of 28.

  23. Find the highest factor of 36.

  24. List the multiples of 15 up to 90.

  25. Write 10 as a product of its factors in two different ways.

🔢 Prime and Composite Numbers (26–45)

  1. Is 2 a prime number?

  2. Is 1 a prime or composite number?

  3. Write 5 prime numbers between 10 and 30.

  4. Identify if 43 is prime or composite.

  5. Identify if 50 is prime or composite.

  6. Identify if 79 is prime or composite.

  7. Identify if 110 is prime or composite.

  8. Identify the twin primes between 10 and 20.

  9. What are the twin primes near 30?

  10. What is the only even prime number?

  11. Write 3 examples of composite numbers.

  12. Are 16 and 25 co-prime numbers?

  13. Are 3 and 8 co-prime numbers?

  14. Are 4 and 6 co-prime numbers?

  15. Write all prime numbers between 64 and 87.

  16. Find 3 odd numbers between 100 and 110.

  17. Find 5 even numbers between 168 and 180.

  18. Write all prime numbers between 37 and 47.

  19. List 3 numbers that are neither prime nor co-prime with 10.

  20. Write 4 odd prime numbers below 50.

➗ Divisibility Rules (46–65)

  1. Is 396 divisible by 3?

  2. Check if 852 is divisible by 4.

  3. Is 230 divisible by 5?

  4. Check if 567 is divisible by 5.

  5. Is 204 divisible by both 2 and 3?

  6. Check if 9864 is divisible by 8.

  7. Check if 684 is divisible by 9.

  8. Is 560 divisible by 10?

  9. Check if 9328 is divisible by 11.

  10. Is 7020 divisible by 2, 3, 5 and 10?

  11. Is 11456 divisible by 4 and 8?

  12. Replace * in 78*964 to make it divisible by 9.

  13. Replace * in 75* to make it divisible by 4.

  14. Replace * in 2*345 to make it divisible by 3.

  15. Is 97,240 divisible by 5 and 10?

  16. Is 7,31,541 divisible by 2?

  17. Find the last two digits of 9864. Are they divisible by 4?

  18. Find the sum of digits in 396.

  19. What is the difference of alternating sums in 9328?

  20. Is 852 an even number?

🌳 Prime Factorisation (66–75)

  1. Prime factorise 840.

  2. Write the prime factors of 100.

  3. Write the prime factors of 48.

  4. Prime factorise 45 using factor tree.

  5. Prime factorise 108.

  6. Find the smallest number with four different prime factors.

  7. Express 252 as a product of prime factors.

  8. Prime factorise 9317.

  9. Express 1035 in terms of prime factors.

  10. Express 13915 using prime factorisation.

🔗 HCF (76–95)

  1. Find HCF of 64 and 120 by listing factors.

  2. Find HCF of 45 and 108 using prime factorisation.

  3. Find HCF of 936 and 864 using long division.

  4. Find HCF of 144 and 84 by common factor method.

  5. Find HCF of 60 and 24.

  6. Find HCF of 450 and 600.

  7. How many shelves are needed for 1050 books if each holds 150?

  8. Find HCF of 12 and 28.

  9. Find HCF of 30 and 12 using prime factorisation.

  10. Find HCF of 25 and 45.

  11. Find HCF of 72 and 90.

  12. Find HCF of 24 and 48.

  13. Find HCF of 120 and 280 using division.

  14. Find HCF of 120 and 660.

  15. Find HCF of 582 and 372.

  16. HCF of 658 and 770.

  17. HCF of 13 and 65.

  18. HCF of 40 and 88.

  19. Find the highest number that divides both 60 and 84.

  20. What is the largest square tile that can cover a 60 ft × 24 ft hall?

🔢 Word Problem Numerical (96–100)

  1. If 672 boys and 480 girls are to be grouped with equal numbers, what is the maximum number of students per group?

  2. What is the smallest number which when added to 5 is divisible by 4, 6, 8, and 10?

  3. In classes with 60, 54 and 48 students, what is the maximum group size with no student left?

  4. Cloths of lengths 45 m, 63 m and 90 m are to be cut equally. What is the maximum length of each piece?

  5. If a number is divisible by 12, list all its divisors.

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