Greatest Common Factor of 763/77, 598/52, 731/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 763/77, 598/52, 731/819

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 763/77,598/52,731/819

Given fractions are 763/77,598/52,731/819

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 763,598,731

Greatest Common Factor of Numerators i.e. GCF of 763,598,731 is 1 .

LCM of Denominators means LCM of 77,52,819 as per the given fractions.

LCM of 77,52,819 is 36036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 763,598,731

GCF of Fractions 763/77,598/52,731/819 is 1/36036

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

Greatest Common Factor of 763,598,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,598,731 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 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 763,598,731 . The biggest common factor number is the GCF number.
So the greatest common factor 763,598,731 is 1.

Lets's calculate LCM of 77,52,819

7 77, 52, 819
13 11, 52, 117
11, 4, 9

∴ So the LCM of the given numbers is 7 x 13 x 11 x 4 x 9 = 36036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36036

Therefore, the GCF of Fractions 763/77,598/52,731/819 is 1/36036

Least Common Multiple of 77,52,819 with GCF Formula

Least Common Multiple of 77,52,819 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 77,52,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,52,819) = 1

common factors(in case of two or more numbers have common factors) = 91

GCF(77,52,819) x common factors =1 x 91 = 91

LCM(77,52,819) = ( 77 × 52 × 819 ) / 91

LCM(77,52,819) = 3279276 / 91

LCM(77,52,819) = 36036


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 763/77, 598/52, 731/819

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 763/77, 598/52, 731/819?

Answer: GCF of Numerators as per given numbers 763/77, 598/52, 731/819 is

GCF of Numerators i.e. for 763,598,731 is 1

LCM of denominators i.e. for 77,52,819 is 36036.

Thus, GCF of Fractions is 1/36036.Finally, GCF of Fractions for 763/77, 598/52, 731/819 is 1/36036.