Question

find the HCF of 75 and 50​

Answer 1

Step-by-step explanation:

The common factors of 50 and 75 are 25, 5, 1, intersecting the two sets above. In the intersection factors of 50 ∩ factors of 75 the greatest element is 25. Therefore, the greatest common factor of 50 and 75 is 25.

Answer 2

Answer:

Required HCF of 75 and 50 is 25.

Step-by-step explanation:

Given two numbers are 75 and 50.

Here we want to find HCF of these two numbers.

We know,HCF means Highest Common Factor.

By some examples we can understand this concept more easily.

Example-1:

We are taking two numbers 6 and 9

By prime factorisation,

$6 = 2 \times 3 \\ 9 = 3 \times 3$

Here highest common factor of 6 and 9 is 3.

So HCF of 6 and 9 is 3.

Example -2:

We are taking three numbers 8,10 and 12.

By prime factorisation,

$8 = 2 \times 2 \times 2 \\ 10 = 2 \times 5 \\ 12 = 2 \times 2 \times 3$

Here highest common factor of 8,10 and 12 is 2.

So HCF of 8,10 and 12 is 2.

In this question we have two digits 75 and 50.

By prime factorisation,

$75 = 3 \times 5 \times 5 \\ 50 = 2 \times 5 \times 5$

Here highest common factor of 75 and 50 is (5×5) = 25

So, HCF of 75 and 50 is 25.

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