Greatest Common Factor of 763/478, 537/552, 279/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 763/478, 537/552, 279/331

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 763/478,537/552,279/331

Given fractions are 763/478,537/552,279/331

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 763,537,279

Greatest Common Factor of Numerators i.e. GCF of 763,537,279 is 1 .

LCM of Denominators means LCM of 478,552,331 as per the given fractions.

LCM of 478,552,331 is 43668168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 763,537,279

GCF of Fractions 763/478,537/552,279/331 is 1/43668168

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

Greatest Common Factor of 763,537,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,537,279 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 763,537,279 . The biggest common factor number is the GCF number.
So the greatest common factor 763,537,279 is 1.

Lets's calculate LCM of 478,552,331

2 478, 552, 331
239, 276, 331

∴ So the LCM of the given numbers is 2 x 239 x 276 x 331 = 43668168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43668168

Therefore, the GCF of Fractions 763/478,537/552,279/331 is 1/43668168

Least Common Multiple of 478,552,331 with GCF Formula

Least Common Multiple of 478,552,331 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 478,552,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,552,331) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(478,552,331) x common factors =1 x 2 = 2

LCM(478,552,331) = ( 478 × 552 × 331 ) / 2

LCM(478,552,331) = 87336336 / 2

LCM(478,552,331) = 43668168


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 763/478, 537/552, 279/331

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 763/478, 537/552, 279/331?

Answer: GCF of Numerators as per given numbers 763/478, 537/552, 279/331 is

GCF of Numerators i.e. for 763,537,279 is 1

LCM of denominators i.e. for 478,552,331 is 43668168.

Thus, GCF of Fractions is 1/43668168.Finally, GCF of Fractions for 763/478, 537/552, 279/331 is 1/43668168.