Greatest Common Factor of 554/765, 1131/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 554/765, 1131/714

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 554/765,1131/714

Given fractions are 554/765,1131/714

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 554,1131

Greatest Common Factor of Numerators i.e. GCF of 554,1131 is 1 .

LCM of Denominators means LCM of 765,714 as per the given fractions.

LCM of 765,714 is 10710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 554,1131

GCF of Fractions 554/765,1131/714 is 1/10710

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

Greatest Common Factor of 554,1131 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,1131 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 1131

List of positive integer factors of 1131 that divides 1131 without a remainder.

1,3,13,29,39,87,377,1131

Greatest Common Factor

We found the factors 554,1131 . The biggest common factor number is the GCF number.
So the greatest common factor 554,1131 is 1.

Lets's calculate LCM of 765,714

3 765, 714
17 255, 238
15, 14

∴ So the LCM of the given numbers is 3 x 17 x 15 x 14 = 10710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10710

Therefore, the GCF of Fractions 554/765,1131/714 is 1/10710

Least Common Multiple of 765,714 with GCF Formula

Least Common Multiple of 765,714 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 765,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,714) = 51

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

GCF(765,714) x common factors =51 x 1 = 51

LCM(765,714) = ( 765 × 714 ) / 51

LCM(765,714) = 546210 / 51

LCM(765,714) = 10710


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 554/765, 1131/714

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 554/765, 1131/714?

Answer: GCF of Numerators as per given numbers 554/765, 1131/714 is

GCF of Numerators i.e. for 554,1131 is 1

LCM of denominators i.e. for 765,714 is 10710.

Thus, GCF of Fractions is 1/10710.Finally, GCF of Fractions for 554/765, 1131/714 is 1/10710.