Greatest Common Factor of 472/50, 299/71, 937/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 472/50, 299/71, 937/213

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 472/50,299/71,937/213

Given fractions are 472/50,299/71,937/213

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 472,299,937

Greatest Common Factor of Numerators i.e. GCF of 472,299,937 is 1 .

LCM of Denominators means LCM of 50,71,213 as per the given fractions.

LCM of 50,71,213 is 10650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 472,299,937

GCF of Fractions 472/50,299/71,937/213 is 1/10650

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 472,299,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,299,937 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 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 472,299,937 . The biggest common factor number is the GCF number.
So the greatest common factor 472,299,937 is 1.

Lets's calculate LCM of 50,71,213

71 50, 71, 213
50, 1, 3

∴ So the LCM of the given numbers is 71 x 50 x 1 x 3 = 10650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10650

Therefore, the GCF of Fractions 472/50,299/71,937/213 is 1/10650

Least Common Multiple of 50,71,213 with GCF Formula

Least Common Multiple of 50,71,213 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 50,71,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,71,213) = 1

common factors(in case of two or more numbers have common factors) = 71

GCF(50,71,213) x common factors =1 x 71 = 71

LCM(50,71,213) = ( 50 × 71 × 213 ) / 71

LCM(50,71,213) = 756150 / 71

LCM(50,71,213) = 10650


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 472/50, 299/71, 937/213

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 472/50, 299/71, 937/213?

Answer: GCF of Numerators as per given numbers 472/50, 299/71, 937/213 is

GCF of Numerators i.e. for 472,299,937 is 1

LCM of denominators i.e. for 50,71,213 is 10650.

Thus, GCF of Fractions is 1/10650.Finally, GCF of Fractions for 472/50, 299/71, 937/213 is 1/10650.