Find the greatest number which can divide 257 and 329 so as to leave a remainder 5 in each case.
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Step-by-step explanation:
Let x=257
y=329
Given R=5
⇒x−5=257−5⇒252
⇒y−5=329−5⇒324
Factorize 252 & 324
252=2
2
×3
2
×7
324=2
2
×3
4
G.C.F⇒2
2
×3
2
=4×9=36.
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