Greatest Common Factor of 778/376, 929/817, 475/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 778/376, 929/817, 475/974

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 778/376,929/817,475/974

Given fractions are 778/376,929/817,475/974

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 778,929,475

Greatest Common Factor of Numerators i.e. GCF of 778,929,475 is 1 .

LCM of Denominators means LCM of 376,817,974 as per the given fractions.

LCM of 376,817,974 is 149602504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 778,929,475

GCF of Fractions 778/376,929/817,475/974 is 1/149602504

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

Greatest Common Factor of 778,929,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,929,475 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 778,929,475 . The biggest common factor number is the GCF number.
So the greatest common factor 778,929,475 is 1.

Lets's calculate LCM of 376,817,974

2 376, 817, 974
188, 817, 487

∴ So the LCM of the given numbers is 2 x 188 x 817 x 487 = 149602504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149602504

Therefore, the GCF of Fractions 778/376,929/817,475/974 is 1/149602504

Least Common Multiple of 376,817,974 with GCF Formula

Least Common Multiple of 376,817,974 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 376,817,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,817,974) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(376,817,974) x common factors =1 x 2 = 2

LCM(376,817,974) = ( 376 × 817 × 974 ) / 2

LCM(376,817,974) = 299205008 / 2

LCM(376,817,974) = 149602504


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 778/376, 929/817, 475/974

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 778/376, 929/817, 475/974?

Answer: GCF of Numerators as per given numbers 778/376, 929/817, 475/974 is

GCF of Numerators i.e. for 778,929,475 is 1

LCM of denominators i.e. for 376,817,974 is 149602504.

Thus, GCF of Fractions is 1/149602504.Finally, GCF of Fractions for 778/376, 929/817, 475/974 is 1/149602504.