What is the largest number that divides 626,3 | vedclass

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

Question

(B) To find the largest number that divides $626$,$3127$,and $15628$ leaving remainders $1$,$2$,and $3$ respectively,we subtract the remainders from t

Vedclass · Accepted Answer

$625$

Vedclass · Answer

(B) To find the largest number that divides $626$,$3127$,and $15628$ leaving remainders $1$,$2$,and $3$ respectively,we subtract the remainders from the respective numbers:$626 - 1 = 625$$3127 - 2 = 3125$$15628 - 3 = 15625$Now,we need to find the Highest Common Factor $(HCF)$ of $625$,$3125$,and $15625$.Prime factorization of $625 = 5^4$Prime factorization of $3125 = 5^5$Prime factorization of $15625 = 5^6$The $HCF$ is the product of the lowest power of common prime factors,which is $5^4 = 625$.Therefore,the largest number is $625$.

What is the largest number that divides $626$,$3127$,and $15628$ and leaves remainders $1$,$2$,and $3$ respectively?

Similar Questions

On a morning walk,three persons step off together and their steps measure $40\, cm$,$42\, cm$ and $45\, cm$,respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps? (in $cm$)

If two positive integers $p$ and $q$ can be expressed as $p = a b^{2}$ and $q = a^{3} b$,where $a$ and $b$ are prime numbers,then $LCM(p, q)$ is:

$A$ rational number in its decimal expansion is $327.7081$. What can you say about the prime factors of $q$,when this number is expressed in the form $\frac{p}{q}$? Give reasons.

Prove that $\sqrt{3}$ is an irrational number.

Find the $g.c.d.$ of $240$ and $6552$ using Euclid's division algorithm.

Vedclass Test Series

Exam Paper Generator

Online Exam Module