Question

what is the gcf of 2x and 3x

Answer 1

Step-by-step explanation:

Consider the example:-

x (x - 3) = x2 - 3x

Answer 2

HCF of 2x and 3x = x  

GIVEN:

Number 2x and 3x

TO FIND:

The HCF of 2x and 3x

SOLUTION:

HCF (Highest Common Factor):

• Highest Common Factor is a highest number which divides each of the given two or more numbers perfectly.

• HCF is also known as Greatest Common Divisor or GCD

• Example: HCF of (3, 6)  

        3 = 3 × 1 and 6 = 2 × 3

        [ here 3 will be the common factor of 3 and 6 ]

       HCF of (3, 6) is 3

 

Given numbers 2x and 3x

Write given numbers as product of prime numbers

⇒ 2x = 2 × x    

⇒ 3x = 3 × x

Here, highest common factor in both factors = x

Therefore,  HCF of 2x and 3x = x  

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