Find the largest number which on dividing 1251
Asked by admin @ in Math viewed by 330 People
Using Euclid’s division algorithm, find the largest number that divides 1251, 9377
and 15628 leaving remainders 1, 2 and 3, respectively.
Answered by admin @
Nos. are
1251 - 1 = 1250
9377 - 2 = 9375
15628 - 3 = 15625
[ by Euclid's division lemma ]
a = bq + r
9375 = 1250 × 7 + 625
1250 = 625 × 2 + 0
HCF of 9375 & 1250 is 625
Now,
15625 = 625 × 25 + 0
So,
HCF is 625
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