Find the largest number that divides 2053 and | vedclass

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

Question

(D) To find the largest number that divides $2053$ and $967$ leaving remainders $5$ and $7$ respectively,we first subtract the remainders from the giv

Vedclass · Accepted Answer

$64$

Vedclass · Answer

(D) To find the largest number that divides $2053$ and $967$ leaving remainders $5$ and $7$ respectively,we first subtract the remainders from the given numbers.$2053 - 5 = 2048$$967 - 7 = 960$Now,we need to find the Highest Common Factor $(HCF)$ of $2048$ and $960$.Using the prime factorization method:$2048 = 2^{11}$$960 = 2^6 	imes 3 	imes 5$The $HCF$ is the product of the lowest powers of common prime factors:$HCF = 2^6 = 64$Therefore,the largest number is $64$.

Find the largest number that divides $2053$ and $967$ and leaves a remainder of $5$ and $7$ respectively.

Similar Questions

Show that one and only one out of $n, n+4, n+8, n+12$ and $n+16$ is divisible by $5,$ where $n$ is any positive integer.

Find the square root of $30-2 \sqrt{56}$.

Express $404$ as a product of primes.

The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after

The smallest positive number divisible by $24, 36$,and $48$ is $\ldots \ldots \ldots \ldots .$

Vedclass Test Series

Exam Paper Generator

Online Exam Module