Question

Find the greatest number that will divide 1625,2281 and 4218 leaving the remainder 8,4and5 respectively

Answer 1

Answer:

》》》》》》》》

= 11

is the right answer

Answer 2

Answer:

11 is the greatest number that will divide 1625,2281 and 4218 leaving the remainder 8,4and5 respectively.

Step-by-step explanation:

The number divides 1625,2281 and 4218 leaving the remainder 8,4 and 5.

So, that number will divide (1625-8), (2281-4),(4218-5) completely.

Therefore,that number will divide 1617, 2277,4213 completely.

Now, the greatest number that will divide 1617, 2277,4213 completely, is the H.C.F. of these numbers.

We know HCF means Highest Common Factor.

By prime factorisation,

$1617 = 3 \times 7 \times 7 \times 11 \\ 2277 = 11 \times 3 \times3 \times 23 \\ 4213 = 11 \times 383$

The highest common factor of 1617, 2277,4213 is 11.

So,HCF of 1617, 2277,4213 is 11.

Therefore,we can say that 11 is the greatest number that will divide 1625,2281 and 4218 leaving the remainder 8,4and5 respectively.

Know more about HCF,

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