Greatest Common Factor of 4687/894, 7311/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4687/894, 7311/736

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 4687/894,7311/736

Given fractions are 4687/894,7311/736

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 4687,7311

Greatest Common Factor of Numerators i.e. GCF of 4687,7311 is 1 .

LCM of Denominators means LCM of 894,736 as per the given fractions.

LCM of 894,736 is 328992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4687,7311

GCF of Fractions 4687/894,7311/736 is 1/328992

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

Greatest Common Factor of 4687,7311 By Matching Biggest Common Factor Method

Greatest Common Factor of 4687,7311 By Matching Biggest Common Factor Method

Factors of 4687

List of positive integer factors of 4687 that divides 4687 without a remainder.

1,43,109,4687

Factors of 7311

List of positive integer factors of 7311 that divides 7311 without a remainder.

1,3,2437,7311

Greatest Common Factor

We found the factors 4687,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 4687,7311 is 1.

Lets's calculate LCM of 894,736

2 894, 736
447, 368

∴ So the LCM of the given numbers is 2 x 447 x 368 = 328992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328992

Therefore, the GCF of Fractions 4687/894,7311/736 is 1/328992

Least Common Multiple of 894,736 with GCF Formula

Least Common Multiple of 894,736 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 894,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,736) = 2

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

GCF(894,736) x common factors =2 x 1 = 2

LCM(894,736) = ( 894 × 736 ) / 2

LCM(894,736) = 657984 / 2

LCM(894,736) = 328992


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 4687/894, 7311/736

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 4687/894, 7311/736?

Answer: GCF of Numerators as per given numbers 4687/894, 7311/736 is

GCF of Numerators i.e. for 4687,7311 is 1

LCM of denominators i.e. for 894,736 is 328992.

Thus, GCF of Fractions is 1/328992.Finally, GCF of Fractions for 4687/894, 7311/736 is 1/328992.