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Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.

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Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.
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Let number be N
276(285-9) is multiple of N
1242(1249-7) is multiple of N
N is HCF of (276,1242)
LCM(276)=2*2*3*23
LCM(1242)=2*3*3*3*23
N=HCF=23*2*3=138.
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