Greatest Common Factor of 204/981, 874/437, 724/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/981, 874/437, 724/224

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 204/981,874/437,724/224

Given fractions are 204/981,874/437,724/224

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 204,874,724

Greatest Common Factor of Numerators i.e. GCF of 204,874,724 is 2 .

LCM of Denominators means LCM of 981,437,224 as per the given fractions.

LCM of 981,437,224 is 96028128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,874,724

GCF of Fractions 204/981,874/437,724/224 is 2/96028128

2 204, 874, 724
102, 437, 362

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

Greatest Common Factor of 204,874,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,874,724 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 204,874,724 . The biggest common factor number is the GCF number.
So the greatest common factor 204,874,724 is 2.

Lets's calculate LCM of 981,437,224

Given numbers has no common factors except 1. So, there LCM is their product i.e 96028128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96028128

Therefore, the GCF of Fractions 204/981,874/437,724/224 is 2/96028128

Least Common Multiple of 981,437,224 with GCF Formula

Least Common Multiple of 981,437,224 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 981,437,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,437,224) = 1

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

GCF(981,437,224) x common factors =1 x 1 = 1

LCM(981,437,224) = ( 981 × 437 × 224 ) / 1

LCM(981,437,224) = 96028128 / 1

LCM(981,437,224) = 96028128


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 204/981, 874/437, 724/224

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 204/981, 874/437, 724/224?

Answer: GCF of Numerators as per given numbers 204/981, 874/437, 724/224 is

GCF of Numerators i.e. for 204,874,724 is 2

LCM of denominators i.e. for 981,437,224 is 96028128.

Thus, GCF of Fractions is 2/96028128.Finally, GCF of Fractions for 204/981, 874/437, 724/224 is 2/96028128.