Question

find the grestest number that will divide 517 and 815 leaving the remainder 1 and 3 respectively​

Answer 1

Answer

Required number is 4

Solution

Let the number as x

The number 517 and 815 on dividing by x left 1 and 3 as remainder .

Then 516 and 812 will be completely divisible by x .

Now finding the Prime factors of these numbers .

516 → 2 ×2×3×43

812 → 2×2×7×29

So there HCF will be - 4

Hence HCF is the highest number which completely divide both number.

So the Value of x will 4 .

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Answer 2

2235353288652==65355386

67243552855366857yfugx555