The largest positive integer that divides 70 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) To find the largest positive integer that divides $70$ and $125$ leaving remainders $5$ and $8$ respectively,we subtract the remainders from the n

Vedclass · Accepted Answer

$13$

Vedclass · Answer

(A) To find the largest positive integer that divides $70$ and $125$ leaving remainders $5$ and $8$ respectively,we subtract the remainders from the numbers first.$70 - 5 = 65$$125 - 8 = 117$Now,we need to find the Greatest Common Divisor $(GCD)$ of $65$ and $117$.Prime factorization of $65 = 5 	imes 13$Prime factorization of $117 = 3^2 	imes 13$The common factor is $13$.Therefore,the largest positive integer is $13$.

The largest positive integer that divides $70$ and $125$,leaving remainders $5$ and $8$ respectively,is:

Similar Questions

The Least Common Multiple $(LCM)$ of the smallest prime number and the smallest composite number is . . . . . . .

The $HCF$ of $6$ and $20$ is . . . . . . .

By using the fact $g.c.d.(a, b) \times l.c.m.(a, b) = a \times b$,find $l.c.m.(96, 404)$.

Find the smallest integer that is divisible by both $28$ and $63$.

If $p$ and $q$ are distinct prime integers,then their Least Common Multiple $(LCM)$ will be ...........

Vedclass Test Series

Exam Paper Generator

Online Exam Module