Greatest Common Factor of 8/753, 74/828, 76/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/753, 74/828, 76/349

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 8/753,74/828,76/349

Given fractions are 8/753,74/828,76/349

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 8,74,76

Greatest Common Factor of Numerators i.e. GCF of 8,74,76 is 2 .

LCM of Denominators means LCM of 753,828,349 as per the given fractions.

LCM of 753,828,349 is 72531972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,74,76

GCF of Fractions 8/753,74/828,76/349 is 2/72531972

2 8, 74, 76
4, 37, 38

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

Greatest Common Factor of 8,74,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,74,76 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 8,74,76 . The biggest common factor number is the GCF number.
So the greatest common factor 8,74,76 is 2.

Lets's calculate LCM of 753,828,349

3 753, 828, 349
251, 276, 349

∴ So the LCM of the given numbers is 3 x 251 x 276 x 349 = 72531972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72531972

Therefore, the GCF of Fractions 8/753,74/828,76/349 is 2/72531972

Least Common Multiple of 753,828,349 with GCF Formula

Least Common Multiple of 753,828,349 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 753,828,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,828,349) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(753,828,349) x common factors =1 x 3 = 3

LCM(753,828,349) = ( 753 × 828 × 349 ) / 3

LCM(753,828,349) = 217595916 / 3

LCM(753,828,349) = 72531972


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 8/753, 74/828, 76/349

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 8/753, 74/828, 76/349?

Answer: GCF of Numerators as per given numbers 8/753, 74/828, 76/349 is

GCF of Numerators i.e. for 8,74,76 is 2

LCM of denominators i.e. for 753,828,349 is 72531972.

Thus, GCF of Fractions is 2/72531972.Finally, GCF of Fractions for 8/753, 74/828, 76/349 is 2/72531972.