Question

what is the hcf of 268 and 469​

Answer 1

469 =268×1+201

268 = 201 ×1+ 67

201=67×3 +0

HCF = 67

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Answer 2

The HCF of 268 and 469 is 67.

Given:

Two numbers: 268 and 469.

To Find:

The HCF of 268 and 469.

Solution:

The highest common factor (HCF) is the highest factor that is common to the given numbers.

The HCF is easily obtained on the prime factorization of the given numbers.

We have been given two numbers, 268 and 469.

Let us find the prime factorization of 268 and 469.

268 = 2 × 2 × 67 = 2² × 67

469 = 7 × 67

The highest factor common to 268 and 469 is 67.

Hence, the HCF of 268 and 469 is 67.

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