Greatest Common Factor of 499/252, 777/854, 760/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 499/252, 777/854, 760/733

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 499/252,777/854,760/733

Given fractions are 499/252,777/854,760/733

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 499,777,760

Greatest Common Factor of Numerators i.e. GCF of 499,777,760 is 1 .

LCM of Denominators means LCM of 252,854,733 as per the given fractions.

LCM of 252,854,733 is 11267676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 499,777,760

GCF of Fractions 499/252,777/854,760/733 is 1/11267676

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

Greatest Common Factor of 499,777,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,777,760 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 499,777,760 . The biggest common factor number is the GCF number.
So the greatest common factor 499,777,760 is 1.

Lets's calculate LCM of 252,854,733

2 252, 854, 733
7 126, 427, 733
18, 61, 733

∴ So the LCM of the given numbers is 2 x 7 x 18 x 61 x 733 = 11267676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11267676

Therefore, the GCF of Fractions 499/252,777/854,760/733 is 1/11267676

Least Common Multiple of 252,854,733 with GCF Formula

Least Common Multiple of 252,854,733 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 252,854,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,854,733) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(252,854,733) x common factors =1 x 14 = 14

LCM(252,854,733) = ( 252 × 854 × 733 ) / 14

LCM(252,854,733) = 157747464 / 14

LCM(252,854,733) = 11267676


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 499/252, 777/854, 760/733

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 499/252, 777/854, 760/733?

Answer: GCF of Numerators as per given numbers 499/252, 777/854, 760/733 is

GCF of Numerators i.e. for 499,777,760 is 1

LCM of denominators i.e. for 252,854,733 is 11267676.

Thus, GCF of Fractions is 1/11267676.Finally, GCF of Fractions for 499/252, 777/854, 760/733 is 1/11267676.