alleryIf $6=2\times 3$ and $20=2^2\times 5$, then their HCF and LCM respectively are
A$2$ and $30$
B$2$ and $60$
C$6$ and $20$
D$1$ and $120$
Answer & Solution
Correct answer: B. $2$ and $60$
The common prime factor is only $2$, and the smallest power common to both numbers is $2^1$, so $\operatorname{HCF}=2$.
For the LCM, take the greatest powers of all primes involved: $2^2\times 3\times 5=60$.
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