Greatest Common Factor of 292/576, 754/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 292/576, 754/312

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 292/576,754/312

Given fractions are 292/576,754/312

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 292,754

Greatest Common Factor of Numerators i.e. GCF of 292,754 is 2 .

LCM of Denominators means LCM of 576,312 as per the given fractions.

LCM of 576,312 is 7488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 292,754

GCF of Fractions 292/576,754/312 is 2/7488

2 292, 754
146, 377

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

Greatest Common Factor of 292,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,754 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 292,754 . The biggest common factor number is the GCF number.
So the greatest common factor 292,754 is 2.

Lets's calculate LCM of 576,312

2 576, 312
2 288, 156
2 144, 78
3 72, 39
24, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 24 x 13 = 7488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7488

Therefore, the GCF of Fractions 292/576,754/312 is 2/7488

Least Common Multiple of 576,312 with GCF Formula

Least Common Multiple of 576,312 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 576,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,312) = 24

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

GCF(576,312) x common factors =24 x 1 = 24

LCM(576,312) = ( 576 × 312 ) / 24

LCM(576,312) = 179712 / 24

LCM(576,312) = 7488


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 292/576, 754/312

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 292/576, 754/312?

Answer: GCF of Numerators as per given numbers 292/576, 754/312 is

GCF of Numerators i.e. for 292,754 is 2

LCM of denominators i.e. for 576,312 is 7488.

Thus, GCF of Fractions is 2/7488.Finally, GCF of Fractions for 292/576, 754/312 is 2/7488.