Question

1. Find the HCF of the following using prime factorisation method.
a. 24,76
b. 45,75
C. 34,78​

Answer 1

Answer:

b) 15

The common factors of 45 and 75 are 15, 5, 3, 1, intersecting the two sets above. In the intersection factors of 45 ∩ factors of 75 the greatest element is 15. Therefore, the greatest common factor of 45 and 75 is 15.

Step-by-step explanation:

we will know that how to find hcf

Find the prime factors of each of the given number.

Next, we identify the common prime factors of the given numbers.

We then multiply the common factors. The product of these common factors is the HCF of the given numbers

Answer 2

Step-by-step explanation:

24=2*2*2*3

76=2*2*19

hcf=4

45=3*3*5

75=3*5*5

hcf=15

34=2*17

78=2*3*13

hcf=2