Greatest Common Factor of 5912/148, 4330/2242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5912/148, 4330/2242

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 5912/148,4330/2242

Given fractions are 5912/148,4330/2242

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 5912,4330

Greatest Common Factor of Numerators i.e. GCF of 5912,4330 is 2 .

LCM of Denominators means LCM of 148,2242 as per the given fractions.

LCM of 148,2242 is 165908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5912,4330

GCF of Fractions 5912/148,4330/2242 is 2/165908

2 5912, 4330
2956, 2165

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

Greatest Common Factor of 5912,4330 By Matching Biggest Common Factor Method

Greatest Common Factor of 5912,4330 By Matching Biggest Common Factor Method

Factors of 5912

List of positive integer factors of 5912 that divides 5912 without a remainder.

1,2,4,8,739,1478,2956,5912

Factors of 4330

List of positive integer factors of 4330 that divides 4330 without a remainder.

1,2,5,10,433,866,2165,4330

Greatest Common Factor

We found the factors 5912,4330 . The biggest common factor number is the GCF number.
So the greatest common factor 5912,4330 is 2.

Lets's calculate LCM of 148,2242

2 148, 2242
74, 1121

∴ So the LCM of the given numbers is 2 x 74 x 1121 = 165908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165908

Therefore, the GCF of Fractions 5912/148,4330/2242 is 2/165908

Least Common Multiple of 148,2242 with GCF Formula

Least Common Multiple of 148,2242 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 148,2242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,2242) = 2

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

GCF(148,2242) x common factors =2 x 1 = 2

LCM(148,2242) = ( 148 × 2242 ) / 2

LCM(148,2242) = 331816 / 2

LCM(148,2242) = 165908


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 5912/148, 4330/2242

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 5912/148, 4330/2242?

Answer: GCF of Numerators as per given numbers 5912/148, 4330/2242 is

GCF of Numerators i.e. for 5912,4330 is 2

LCM of denominators i.e. for 148,2242 is 165908.

Thus, GCF of Fractions is 2/165908.Finally, GCF of Fractions for 5912/148, 4330/2242 is 2/165908.