Greatest Common Factor of 282/129, 654/288, 613/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 282/129, 654/288, 613/376

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 282/129,654/288,613/376

Given fractions are 282/129,654/288,613/376

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 282,654,613

Greatest Common Factor of Numerators i.e. GCF of 282,654,613 is 1 .

LCM of Denominators means LCM of 129,288,376 as per the given fractions.

LCM of 129,288,376 is 582048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 282,654,613

GCF of Fractions 282/129,654/288,613/376 is 1/582048

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

Greatest Common Factor of 282,654,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,654,613 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 282,654,613 . The biggest common factor number is the GCF number.
So the greatest common factor 282,654,613 is 1.

Lets's calculate LCM of 129,288,376

2 129, 288, 376
2 129, 144, 188
2 129, 72, 94
3 129, 36, 47
43, 12, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 43 x 12 x 47 = 582048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582048

Therefore, the GCF of Fractions 282/129,654/288,613/376 is 1/582048

Least Common Multiple of 129,288,376 with GCF Formula

Least Common Multiple of 129,288,376 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 129,288,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,288,376) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(129,288,376) x common factors =1 x 24 = 24

LCM(129,288,376) = ( 129 × 288 × 376 ) / 24

LCM(129,288,376) = 13969152 / 24

LCM(129,288,376) = 582048


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 282/129, 654/288, 613/376

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 282/129, 654/288, 613/376?

Answer: GCF of Numerators as per given numbers 282/129, 654/288, 613/376 is

GCF of Numerators i.e. for 282,654,613 is 1

LCM of denominators i.e. for 129,288,376 is 582048.

Thus, GCF of Fractions is 1/582048.Finally, GCF of Fractions for 282/129, 654/288, 613/376 is 1/582048.