If two positive integers m and n are expressible in the form m-p q3 and n-p3 q2- where p- q are prime numbers- then HCFm- n-a p qb p q 2c p3 q2d p2 q2

You visited us 7 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Euclid's Division Algorithm

If two positi...

Question

If two positive integers m and n are expressible in the form m = pq³ and n = p³q², where p, q are prime numbers, then HCF (m, n) =
(a) pq
(b) pq2
(c) p³q²
(d) p²q²

Open in App

Solution

Two positive integers are expressed as follows:

p and q are prime numbers.

Then, taking the smallest powers of p and q in the values for m and n we get

HCF

Hence the correct choice is (b).

Suggest Corrections

102

Similar questions

Q. If two positive integers m and n are expressible in the form m = a² b³ and n = a³b², where a, b are prime numbers, then HCF (m, n) = _______ and LCM (a, b) = _______.

Q. If two positive ingeters a and b are expressible in the form a = pq² and b = p³q; p, q being prime number, then LCM (a, b) is

(a) pq
(b) p³q³
(c) p³q²
(d) p²q²

Let $x$ be a rational number whose simplest form is expressed as $\frac{p}{q}$ , where $p$ and $q$ are co-prime integers and $q \neq 0$ and also, $x$ is a terminating decimal, then $q$ can be expressed in the form of _____________ (where m and n are non-negative integers).

If a terminating decimal can be expressed in the form $\frac{p}{q}$ where p and q are co-prime integers and q ≠ 0, and q is of the form $2^{m} 5^{n}$ .where m and n are non-negative integers.

Join BYJU'S Learning Program

If two positive integers m and n are expressible in the form m = pq3 and n = p3q2, where p, q are prime numbers, then HCF (m, n) = (a) pq (b) pq2 (c) p3q2 (d) p2q2

Two positive integers are expressed as follows: p and q are prime numbers. Then, taking the smallest powers of p and q in the values for m and n we get HCF Hence the correct choice is (b).

If two positive integers m and n are expressible in the form m = pq³ and n = p³q², where p, q are prime numbers, then HCF (m, n) =
(a) pq
(b) pq2
(c) p³q²
(d) p²q²

Two positive integers are expressed as follows:

p and q are prime numbers.

Then, taking the smallest powers of p and q in the values for m and n we get

HCF

Hence the correct choice is (b).