Greatest Common Factor of 779/482, 826/801, 714/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 779/482, 826/801, 714/927

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 779/482,826/801,714/927

Given fractions are 779/482,826/801,714/927

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 779,826,714

Greatest Common Factor of Numerators i.e. GCF of 779,826,714 is 1 .

LCM of Denominators means LCM of 482,801,927 as per the given fractions.

LCM of 482,801,927 is 39766446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 779,826,714

GCF of Fractions 779/482,826/801,714/927 is 1/39766446

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

Greatest Common Factor of 779,826,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,826,714 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 779,826,714 . The biggest common factor number is the GCF number.
So the greatest common factor 779,826,714 is 1.

Lets's calculate LCM of 482,801,927

3 482, 801, 927
3 482, 267, 309
482, 89, 103

∴ So the LCM of the given numbers is 3 x 3 x 482 x 89 x 103 = 39766446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39766446

Therefore, the GCF of Fractions 779/482,826/801,714/927 is 1/39766446

Least Common Multiple of 482,801,927 with GCF Formula

Least Common Multiple of 482,801,927 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 482,801,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,801,927) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(482,801,927) x common factors =1 x 9 = 9

LCM(482,801,927) = ( 482 × 801 × 927 ) / 9

LCM(482,801,927) = 357898014 / 9

LCM(482,801,927) = 39766446


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 779/482, 826/801, 714/927

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 779/482, 826/801, 714/927?

Answer: GCF of Numerators as per given numbers 779/482, 826/801, 714/927 is

GCF of Numerators i.e. for 779,826,714 is 1

LCM of denominators i.e. for 482,801,927 is 39766446.

Thus, GCF of Fractions is 1/39766446.Finally, GCF of Fractions for 779/482, 826/801, 714/927 is 1/39766446.