Question

what is the gcd (u15,u18) will be​

Answer 1

GCD=HCF

HCF oh these terms is u3

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Answer 2

Answer:

The gcd (u15,u18) will be${u}^{15}$

Step-by-step explanation:

Given two terms are ${u}^{15}$and ${u}^{18}$

Here we want to find GCD.

GCD means HCF.

We know HCF means Highest Common Factor.

Now question is How can we find HCF.

By some examples we can understand this concept easily.

Example-1:

35 and 125 are two numbers.

First we need to break 35 and 125 into prime numbers.

$35 = 5 \times 7$

and $125 = 5 \times 5 \times 5$

So,HCF of 35 and 125 is 5.

Example -2:

Let 4xy and 4pq be two numbers.

$4xy = 2 \times 2 \times x \times y$

and $4pq = 2 \times 2 \times p \times q$

Now HCF of 4xy and 4pq is $2 \times 2 = 4$

Here given two terms are${u}^{18}$and ${u}^{15}$

Now,${u}^{18} = {u}^{15 + 3} = {u}^{15} \times {u}^{3}$and ${u}^{15}$

So HCF of given two terms is ${u}^{15}$

Therefore GCD$( {u}^{15} , {u}^{18} ) = {u}^{15}$.