Question

Q1) HCF of 25,32 and 36

Q2) determine the largest thread which can measure exactly the lengths 5 m,3m 85m and 12m 95m.

Q3) Three books sellers have 490 ,588 and 882 books respectively. find the maximum number of books that can be packed in exact number of cartons.

Q4) There are 119 mangoes and 153 apples. these fruits are to be arranged in heaps containing the same number of fruits. find the greatest number of fruits possible in each heap.(HINT: greatest number of fruits possible in each heap = HCF of 119 and 153.​

Answer 1

The HCF of 25 and 36 is 1. To calculate the Highest common factor of 25 and 36, we need to factor each number (factors of 25 = 1, 5, 25; factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the highest factor that exactly divides both 25 and 36, i.e., 1.

Answer 2

HCF(25,32) = 1

We will now calculate the prime factors of 25 and 32, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25 and 32.

༺༒༻✦☺