Greatest Common Factor of 751/72, 654/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 751/72, 654/308

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 751/72,654/308

Given fractions are 751/72,654/308

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 751,654

Greatest Common Factor of Numerators i.e. GCF of 751,654 is 1 .

LCM of Denominators means LCM of 72,308 as per the given fractions.

LCM of 72,308 is 5544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 751,654

GCF of Fractions 751/72,654/308 is 1/5544

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

Greatest Common Factor of 751,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,654 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 654

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

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

Greatest Common Factor

We found the factors 751,654 . The biggest common factor number is the GCF number.
So the greatest common factor 751,654 is 1.

Lets's calculate LCM of 72,308

2 72, 308
2 36, 154
18, 77

∴ So the LCM of the given numbers is 2 x 2 x 18 x 77 = 5544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5544

Therefore, the GCF of Fractions 751/72,654/308 is 1/5544

Least Common Multiple of 72,308 with GCF Formula

Least Common Multiple of 72,308 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 72,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,308) = 4

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

GCF(72,308) x common factors =4 x 1 = 4

LCM(72,308) = ( 72 × 308 ) / 4

LCM(72,308) = 22176 / 4

LCM(72,308) = 5544


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 751/72, 654/308

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 751/72, 654/308?

Answer: GCF of Numerators as per given numbers 751/72, 654/308 is

GCF of Numerators i.e. for 751,654 is 1

LCM of denominators i.e. for 72,308 is 5544.

Thus, GCF of Fractions is 1/5544.Finally, GCF of Fractions for 751/72, 654/308 is 1/5544.