Question

Find the greatest number that will divide 328, 436 and 544 leaving remainder 7, 8 and 9 respectively

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Solution:

We have to find the greatest number that will divide 328, 436, and 544 leaving remainder 7, 8 and 9 respectively.

Now

→ 328 - 7 = 321

→ 436 - 8 = 428

→ 544 - 9 = 535

Now, we have to find the HCF of 321, 428, 535

• HCF of 321 = 3 × 107

• HCF of 428 = 2 × 2 × 107

• HCF of 535 = 5 × 107

107 is common in 321, 428 and 535.

So, HCF is 107

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107 is the greatest number that will divide 328, 436, and 544 leaving remainder 7, 8 and 9 respectively

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