Greatest Common Factor of 472/58, 3812/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 472/58, 3812/242

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 472/58,3812/242

Given fractions are 472/58,3812/242

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 472,3812

Greatest Common Factor of Numerators i.e. GCF of 472,3812 is 4 .

LCM of Denominators means LCM of 58,242 as per the given fractions.

LCM of 58,242 is 7018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 472,3812

GCF of Fractions 472/58,3812/242 is 4/7018

2 472, 3812
2 236, 1906
118, 953

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 472,3812 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,3812 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 3812

List of positive integer factors of 3812 that divides 3812 without a remainder.

1,2,4,953,1906,3812

Greatest Common Factor

We found the factors 472,3812 . The biggest common factor number is the GCF number.
So the greatest common factor 472,3812 is 4.

Lets's calculate LCM of 58,242

2 58, 242
29, 121

∴ So the LCM of the given numbers is 2 x 29 x 121 = 7018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7018

Therefore, the GCF of Fractions 472/58,3812/242 is 4/7018

Least Common Multiple of 58,242 with GCF Formula

Least Common Multiple of 58,242 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 58,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,242) = 2

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

GCF(58,242) x common factors =2 x 1 = 2

LCM(58,242) = ( 58 × 242 ) / 2

LCM(58,242) = 14036 / 2

LCM(58,242) = 7018


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 472/58, 3812/242

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 472/58, 3812/242?

Answer: GCF of Numerators as per given numbers 472/58, 3812/242 is

GCF of Numerators i.e. for 472,3812 is 4

LCM of denominators i.e. for 58,242 is 7018.

Thus, GCF of Fractions is 4/7018.Finally, GCF of Fractions for 472/58, 3812/242 is 4/7018.