Question

In Q. No. 7, HCF (a, b) is
A. pq
B. p³ q³
C. p³ q2
D. p² q²

Answer 1

Question :  

If two positive ingeters a and b are expressible in the form $a= pq^{2} and b= p^{3}q$; p,q being prime number, then HCF(a,b) is

(a) pq

(b) $p^{3}q^{3}$

(c) $p^{3}q^{2}$

(d) $p^{2}q^{2}$

 

Solution :

HCF(a,b) is pq.  

Option (a) is correct : pq

 

Given :   Two positive ingeters a and b are expressible in the form , a = pq²  & b = p³q , p & q are prime numbers.

The factors are as follows :  

a = p¹ × q²  

b = p³ × q¹  

HCF ( a,b) = pq

Hence, the correct option is (a) pq.

★★HCF : HCF of two or more numbers =  product of the smallest power of each common prime factor involved in the numbers.

HOPE THIS ANSWER WILL HELP YOU…

 

Some more questions :  

If two positive ingeters a and b are expressible in the form $a= pq^{2} and b= p^{3}q$; p,q being prime number, then LCM(a,b) is

(a) pq

(b) $p^{3}q^{3}$

(c) $p^{3}q^{2}$

(d) $p^{2}q^{2}$

https://brainly.in/question/6858693

If two positive integers m and n are expressible in the form m= $pq^{3}$ and n= $p^{3}q^{2}$, where p,q are prime numbers,then HCF(m,n)=

(a) pq

(b) $pq^{2}$

(c) $p^{3}q^{2}$

(d) $p^{2}q^{2}$

https://brainly.in/question/6858845

Answer 2

Answer:

Step-by-step explanation:

pq