find the greatest number that will divide 328, 436 and 544 leaving remainder 7, 8 and 9 respectively
please give me answer
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21
Answer:
107
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find the greatest number that will divide 328, 436 and 544 leaving remainder 7, 8 and 9 respectively please give me answer
ANSWER
To find the greatest number,
328 – 7 = 321
436 – 8 = 428
544 – 9 = 535
Now we need to find the hcf of the numbers obtained.
So we get the factors.
1. 321 = 3 x 107
2. 428 = 2 x 2 x 107
3. 535 = 5 x 107
So 107 is the highest common factor and the greatest number that will divide 328, 436 and 544 leaving remainder 7,8 and 9.
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