Greatest Common Factor of 210/184, 572/563, 972/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/184, 572/563, 972/414

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 210/184,572/563,972/414

Given fractions are 210/184,572/563,972/414

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 210,572,972

Greatest Common Factor of Numerators i.e. GCF of 210,572,972 is 2 .

LCM of Denominators means LCM of 184,563,414 as per the given fractions.

LCM of 184,563,414 is 932328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,572,972

GCF of Fractions 210/184,572/563,972/414 is 2/932328

2 210, 572, 972
105, 286, 486

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

Greatest Common Factor of 210,572,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,572,972 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 210,572,972 . The biggest common factor number is the GCF number.
So the greatest common factor 210,572,972 is 2.

Lets's calculate LCM of 184,563,414

2 184, 563, 414
23 92, 563, 207
4, 563, 9

∴ So the LCM of the given numbers is 2 x 23 x 4 x 563 x 9 = 932328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/932328

Therefore, the GCF of Fractions 210/184,572/563,972/414 is 2/932328

Least Common Multiple of 184,563,414 with GCF Formula

Least Common Multiple of 184,563,414 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 184,563,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,563,414) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(184,563,414) x common factors =1 x 46 = 46

LCM(184,563,414) = ( 184 × 563 × 414 ) / 46

LCM(184,563,414) = 42887088 / 46

LCM(184,563,414) = 932328


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 210/184, 572/563, 972/414

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 210/184, 572/563, 972/414?

Answer: GCF of Numerators as per given numbers 210/184, 572/563, 972/414 is

GCF of Numerators i.e. for 210,572,972 is 2

LCM of denominators i.e. for 184,563,414 is 932328.

Thus, GCF of Fractions is 2/932328.Finally, GCF of Fractions for 210/184, 572/563, 972/414 is 2/932328.