alleryFor any two positive integers $a$ and $b$, which identity is always true?
A$\operatorname{HCF}(a,b)+\operatorname{LCM}(a,b)=a+b$
B$\operatorname{HCF}(a,b)\times \operatorname{LCM}(a,b)=a\times b$
C$\operatorname{HCF}(a,b)=a\times b$
D$\operatorname{LCM}(a,b)=a+b$
Answer & Solution
Correct answer: B. $\operatorname{HCF}(a,b)\times \operatorname{LCM}(a,b)=a\times b$
For any two positive integers, the product of their HCF and LCM equals the product of the numbers themselves.
This relation is frequently used to find one when the other is known.
Keep practising Number Systems
Browse all Number Systems questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
Which of the following is not a polynomial in the variable $x$?The zero of the linear polynomial $ax+b$ with $a\neq 0$ isFor the polynomial $p(x)=x^2-3x-4$, what is the value of $p(-1)$?Which statement is true for a polynomial of degree $n$?If $\alpha$ and $\beta$ are the zeroes of the quadratic polynomial $ax^2+bx+c$ with $a\neqThe zeroes of the quadratic polynomial $x^2+7x+10$ areA quadratic polynomial has sum of zeroes $-3$ and product of zeroes $2$. Which of the follIf $\alpha,\beta,\gamma$ are the zeroes of the cubic polynomial $ax^3+bx^2+cx+d$, then $\a