Greatest Common Factor of 579/242, 178/224, 283/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 579/242, 178/224, 283/312

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 579/242,178/224,283/312

Given fractions are 579/242,178/224,283/312

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 579,178,283

Greatest Common Factor of Numerators i.e. GCF of 579,178,283 is 1 .

LCM of Denominators means LCM of 242,224,312 as per the given fractions.

LCM of 242,224,312 is 1057056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 579,178,283

GCF of Fractions 579/242,178/224,283/312 is 1/1057056

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

Greatest Common Factor of 579,178,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,178,283 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 579,178,283 . The biggest common factor number is the GCF number.
So the greatest common factor 579,178,283 is 1.

Lets's calculate LCM of 242,224,312

2 242, 224, 312
2 121, 112, 156
2 121, 56, 78
121, 28, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 28 x 39 = 1057056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1057056

Therefore, the GCF of Fractions 579/242,178/224,283/312 is 1/1057056

Least Common Multiple of 242,224,312 with GCF Formula

Least Common Multiple of 242,224,312 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 242,224,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,224,312) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(242,224,312) x common factors =2 x 8 = 16

LCM(242,224,312) = ( 242 × 224 × 312 ) / 16

LCM(242,224,312) = 16912896 / 16

LCM(242,224,312) = 1057056


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 579/242, 178/224, 283/312

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 579/242, 178/224, 283/312?

Answer: GCF of Numerators as per given numbers 579/242, 178/224, 283/312 is

GCF of Numerators i.e. for 579,178,283 is 1

LCM of denominators i.e. for 242,224,312 is 1057056.

Thus, GCF of Fractions is 1/1057056.Finally, GCF of Fractions for 579/242, 178/224, 283/312 is 1/1057056.