Greatest Common Factor of 5706/972, 2134/9535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5706/972, 2134/9535

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 5706/972,2134/9535

Given fractions are 5706/972,2134/9535

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 5706,2134

Greatest Common Factor of Numerators i.e. GCF of 5706,2134 is 2 .

LCM of Denominators means LCM of 972,9535 as per the given fractions.

LCM of 972,9535 is 9268020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5706,2134

GCF of Fractions 5706/972,2134/9535 is 2/9268020

2 5706, 2134
2853, 1067

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5706,2134 By Matching Biggest Common Factor Method

Greatest Common Factor of 5706,2134 By Matching Biggest Common Factor Method

Factors of 5706

List of positive integer factors of 5706 that divides 5706 without a remainder.

1,2,3,6,9,18,317,634,951,1902,2853,5706

Factors of 2134

List of positive integer factors of 2134 that divides 2134 without a remainder.

1,2,11,22,97,194,1067,2134

Greatest Common Factor

We found the factors 5706,2134 . The biggest common factor number is the GCF number.
So the greatest common factor 5706,2134 is 2.

Lets's calculate LCM of 972,9535

Given numbers has no common factors except 1. So, there LCM is their product i.e 9268020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9268020

Therefore, the GCF of Fractions 5706/972,2134/9535 is 2/9268020

Least Common Multiple of 972,9535 with GCF Formula

Least Common Multiple of 972,9535 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 972,9535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,9535) = 1

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

GCF(972,9535) x common factors =1 x 1 = 1

LCM(972,9535) = ( 972 × 9535 ) / 1

LCM(972,9535) = 9268020 / 1

LCM(972,9535) = 9268020


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 5706/972, 2134/9535

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 5706/972, 2134/9535?

Answer: GCF of Numerators as per given numbers 5706/972, 2134/9535 is

GCF of Numerators i.e. for 5706,2134 is 2

LCM of denominators i.e. for 972,9535 is 9268020.

Thus, GCF of Fractions is 2/9268020.Finally, GCF of Fractions for 5706/972, 2134/9535 is 2/9268020.