Greatest Common Factor of 753/754, 672/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 753/754, 672/996

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 753/754,672/996

Given fractions are 753/754,672/996

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 753,672

Greatest Common Factor of Numerators i.e. GCF of 753,672 is 3 .

LCM of Denominators means LCM of 754,996 as per the given fractions.

LCM of 754,996 is 375492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 753,672

GCF of Fractions 753/754,672/996 is 3/375492

3 753, 672
251, 224

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 753,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,672 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 753,672 . The biggest common factor number is the GCF number.
So the greatest common factor 753,672 is 3.

Lets's calculate LCM of 754,996

2 754, 996
377, 498

∴ So the LCM of the given numbers is 2 x 377 x 498 = 375492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/375492

Therefore, the GCF of Fractions 753/754,672/996 is 3/375492

Least Common Multiple of 754,996 with GCF Formula

Least Common Multiple of 754,996 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 754,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,996) = 2

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

GCF(754,996) x common factors =2 x 1 = 2

LCM(754,996) = ( 754 × 996 ) / 2

LCM(754,996) = 750984 / 2

LCM(754,996) = 375492


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 753/754, 672/996

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 753/754, 672/996?

Answer: GCF of Numerators as per given numbers 753/754, 672/996 is

GCF of Numerators i.e. for 753,672 is 3

LCM of denominators i.e. for 754,996 is 375492.

Thus, GCF of Fractions is 3/375492.Finally, GCF of Fractions for 753/754, 672/996 is 3/375492.