HCF

Class 6 HCF Practice Questions

Highest Common Factor (HCF) Practice Questions

Q. No.	Question	Answer
1	Find the HCF of 24 and 36.	HCF = 12 24 = 2×2×2×3, 36 = 2×2×3×3, HCF = 2×2×3 = 12
2	What is the greatest number that divides both 18 and 45 exactly?	HCF = 9 18 = 2×3×3, 45 = 3×3×5, HCF = 3×3 = 9
3	Rohan has 20 pencils and 30 erasers. He wants to make packets with the same number of pencils and erasers in each packet. What is the maximum number of packets he can make?	10 packets HCF of 20 and 30 is 10
4	Find the HCF of 17 and 19.	HCF = 1 17 and 19 are prime numbers, so HCF = 1
5	Three ropes are 12m, 18m, and 30m long. What is the greatest length that can be used to measure all three ropes exactly?	6 meters HCF of 12, 18, and 30 is 6
6	Find the HCF of 42 and 56 using the division method.	HCF = 14 56 ÷ 42 = 1 rem 14, 42 ÷ 14 = 3 rem 0, so HCF = 14
7	Which of the following is the HCF of 36 and 84? a) 4 b) 6 c) 12 d) 18	c) 12 36 = 2×2×3×3, 84 = 2×2×3×7, HCF = 2×2×3 = 12
8	A teacher has 45 notebooks and 75 pens. She wants to give them to students so that each student gets the same number of notebooks and pens. What is the maximum number of students she can give to?	15 students HCF of 45 and 75 is 15
9	Find the HCF of 48, 64, and 80.	HCF = 16 48 = 2×2×2×2×3, 64 = 2×2×2×2×2×2, 80 = 2×2×2×2×5, HCF = 2×2×2×2 = 16
10	Two tanks contain 60 liters and 84 liters of water. What is the capacity of the largest container that can measure the water from both tanks exactly?	12 liters HCF of 60 and 84 is 12