Find the greatest number which divides 1385,1457 and 1628 leaving remainder 5,2 and 4.
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Answered by
91
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....
Answered by
8
Answer:
The greatest factor is 1 because all positive integers cant fully divide all of them hence they leave a remainder.
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