Greatest Common Factor of 132/610, 1407/2647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 132/610, 1407/2647

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 132/610,1407/2647

Given fractions are 132/610,1407/2647

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 132,1407

Greatest Common Factor of Numerators i.e. GCF of 132,1407 is 3 .

LCM of Denominators means LCM of 610,2647 as per the given fractions.

LCM of 610,2647 is 1614670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 132,1407

GCF of Fractions 132/610,1407/2647 is 3/1614670

3 132, 1407
44, 469

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 132,1407 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,1407 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 1407

List of positive integer factors of 1407 that divides 1407 without a remainder.

1,3,7,21,67,201,469,1407

Greatest Common Factor

We found the factors 132,1407 . The biggest common factor number is the GCF number.
So the greatest common factor 132,1407 is 3.

Lets's calculate LCM of 610,2647

Given numbers has no common factors except 1. So, there LCM is their product i.e 1614670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1614670

Therefore, the GCF of Fractions 132/610,1407/2647 is 3/1614670

Least Common Multiple of 610,2647 with GCF Formula

Least Common Multiple of 610,2647 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 610,2647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,2647) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(610,2647) x common factors =1 x 1 = 1

LCM(610,2647) = ( 610 × 2647 ) / 1

LCM(610,2647) = 1614670 / 1

LCM(610,2647) = 1614670


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 132/610, 1407/2647

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 132/610, 1407/2647?

Answer: GCF of Numerators as per given numbers 132/610, 1407/2647 is

GCF of Numerators i.e. for 132,1407 is 3

LCM of denominators i.e. for 610,2647 is 1614670.

Thus, GCF of Fractions is 3/1614670.Finally, GCF of Fractions for 132/610, 1407/2647 is 3/1614670.