Find the greatest number which divides 1385, 1457 and 1628 leaving remainders 5, 2 and 4 respectively.
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First subtract 5, 2, 4 from 1385, 1457, 1628. then find the Hcf
1385 - 5 = 1380
1457 - 2= 1455
1628 - 4= 1624
1380= 2×2×3×5×23
1455= 3×5×97
1624= 2×2×2×7×29
HCF= 1
HCF of 1380, 1455, 1620 =1
Hence 1 is the largest positive integer that will divide 1385 , 1457 , 1628 remainders 5 , 2 ,4....
1385 - 5 = 1380
1457 - 2= 1455
1628 - 4= 1624
1380= 2×2×3×5×23
1455= 3×5×97
1624= 2×2×2×7×29
HCF= 1
HCF of 1380, 1455, 1620 =1
Hence 1 is the largest positive integer that will divide 1385 , 1457 , 1628 remainders 5 , 2 ,4....
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