Question

Find the H.C.F of 144 and 72 using repeated subtraction method.​

Answer 1

The HCF of 144 and 120 is 24.

Step-by-step explanation:

Given : Number 144 and 120.

To find : HCF of numbers ?

Solution :

We factor the numbers,

144=2\times2 \times2\times 2 \times 3 \times 3144=2×2×2×2×3×3

120=2\times2 \times2\times 3 \times 5120=2×2×2×3×5

The highest common factor of 144 and 120 is

HCF(144,120)=2\times 2\times 2\times 3HCF(144,120)=2×2×2×3

HCF(144,120)=24HCF(144,120)=24

Therefore, the HCF of 144 and 120 is 24.

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Answer 2

Answer:

Step-by-step explanation:

Let's subtract first and 2nd number untill we get both the term same ,

When we get both number same then , that number is the HCF of the given question,

first number be m = 144 and 2nd number n= 72

m – n = 144 – 72 = 72 ; now m = 72 & n = 72

Now both m and n or should i say both number is same ,

so

HCF of 144 and 72 is 72