Greatest Common Factor of 4312/765, 4779/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4312/765, 4779/741

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 4312/765,4779/741

Given fractions are 4312/765,4779/741

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 4312,4779

Greatest Common Factor of Numerators i.e. GCF of 4312,4779 is 1 .

LCM of Denominators means LCM of 765,741 as per the given fractions.

LCM of 765,741 is 188955 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4312,4779

GCF of Fractions 4312/765,4779/741 is 1/188955

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

Greatest Common Factor of 4312,4779 By Matching Biggest Common Factor Method

Greatest Common Factor of 4312,4779 By Matching Biggest Common Factor Method

Factors of 4312

List of positive integer factors of 4312 that divides 4312 without a remainder.

1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312

Factors of 4779

List of positive integer factors of 4779 that divides 4779 without a remainder.

1,3,9,27,59,81,177,531,1593,4779

Greatest Common Factor

We found the factors 4312,4779 . The biggest common factor number is the GCF number.
So the greatest common factor 4312,4779 is 1.

Lets's calculate LCM of 765,741

3 765, 741
255, 247

∴ So the LCM of the given numbers is 3 x 255 x 247 = 188955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188955

Therefore, the GCF of Fractions 4312/765,4779/741 is 1/188955

Least Common Multiple of 765,741 with GCF Formula

Least Common Multiple of 765,741 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 765,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,741) = 3

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

GCF(765,741) x common factors =3 x 1 = 3

LCM(765,741) = ( 765 × 741 ) / 3

LCM(765,741) = 566865 / 3

LCM(765,741) = 188955


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 4312/765, 4779/741

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 4312/765, 4779/741?

Answer: GCF of Numerators as per given numbers 4312/765, 4779/741 is

GCF of Numerators i.e. for 4312,4779 is 1

LCM of denominators i.e. for 765,741 is 188955.

Thus, GCF of Fractions is 1/188955.Finally, GCF of Fractions for 4312/765, 4779/741 is 1/188955.