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Q : find the HCF of the following pair of integers and express it as a linear combination of them:
》 592 & 252 and 506 & 1155
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4=592m+252n where m=-20 and n=47
step by step explanations
592=252×2+89
252=88×2+76
88=76×1+12
76=12×6+4
12=4×3+0
Hence H.C.F=4
now
4=76-12×6
4=76-(88-76)×6
4=76×7-88×6
4=(252-88×2)×7-88×6
4=252×7-88×20
4=252×7-(592-252×2)×20
4=252×47+592×20
4=592m+252n
where m=-20 and n=47
Hence this is the required linear combination from
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