Question

What is the greatest number that will divide 6844 and 6123 and leave remainders 4 and 3 rep?

Answer 1

Solution is in the attachment.

Hope you’ll get it...

Answer 2

Concept:

HCF is the highest common factor between the two numbers.

Given:

We are given two numbers:

6844 and 6123.

Find:

We need to find the greatest number that will divide 6844 and 6123 and leave remainders 4 and 3 respectively.

Step-by-step explanation:

We need the highest number that divides 6844 and 6123 and leave remainders 4 and 3 respectively.

6844 - 4 = 6840

6123 - 3 = 6120

HCF of 6840 and 6120 is:

6840 = 2 × 2 × 2 × 3 × 3 × 5 × 19

6120 = 2 × 2 × 2 × 3 × 3 × 5 × 17

HCF = 2 × 2 × 2 × 3 × 3 × 5 = 360.

Therefore, the number is 360.

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