find the HCF of 52 and 117 and express it in form 52x + 117y ?
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Applying division to 117 and 52, we get
117=52×2+13. (i)
52=13×4+0
∴8 is the H.C.F. of 52 and 117
From (i), we have
13=52(−2)+117(1)
Hence it is expressed in the form of 52x+117y
By comparing, we get x=−2,y=1
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