For two positive integers a and b,if text{HCF | vedclass

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

Question

(B) We know the fundamental property of two positive integers $a$ and $b$ is that the product of the numbers is equal to the product of their $	ext{H

Vedclass · Accepted Answer

$2695$

Vedclass · Answer

(B) We know the fundamental property of two positive integers $a$ and $b$ is that the product of the numbers is equal to the product of their $	ext{HCF}$ and $	ext{LCM}$.Mathematically,$a 	imes b = 	ext{HCF}(a, b) 	imes 	ext{LCM}(a, b)$.Given that $	ext{HCF}(a, b) = 7$ and $	ext{LCM}(a, b) = 385$.Therefore,$a 	imes b = 7 	imes 385$.$a 	imes b = 2695$.Thus,the product of the two integers is $2695$.

For two positive integers $a$ and $b$,if $\text{HCF}(a, b) = 7$ and $\text{LCM}(a, b) = 385$,then find the product $a \times b$.

Similar Questions

Find the $\text{l.c.m.}$ and $\text{g.c.d.}$ of the following by using the fundamental theorem of arithmetic: $96$ and $404$.

The Greatest Common Divisor $(GCD)$ of the smallest two-digit prime number and the smallest two-digit composite number is . . . . . . .

Find the $\text{g.c.d.}$ and $\text{l.c.m.}$ of $510$ and $92$ using the fundamental theorem of arithmetic.

The $HCF$ of $25$ and $52$ is $1$.

Find the greatest positive integer that divides $70$ and $125$ leaving remainders $5$ and $8$ respectively.

Vedclass Test Series

Exam Paper Generator

Online Exam Module