Greatest Common Factor of 615/758, 974/460, 787/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/758, 974/460, 787/686

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 615/758,974/460,787/686

Given fractions are 615/758,974/460,787/686

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 615,974,787

Greatest Common Factor of Numerators i.e. GCF of 615,974,787 is 1 .

LCM of Denominators means LCM of 758,460,686 as per the given fractions.

LCM of 758,460,686 is 59798620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,974,787

GCF of Fractions 615/758,974/460,787/686 is 1/59798620

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

Greatest Common Factor of 615,974,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,974,787 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 615,974,787 . The biggest common factor number is the GCF number.
So the greatest common factor 615,974,787 is 1.

Lets's calculate LCM of 758,460,686

2 758, 460, 686
379, 230, 343

∴ So the LCM of the given numbers is 2 x 379 x 230 x 343 = 59798620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59798620

Therefore, the GCF of Fractions 615/758,974/460,787/686 is 1/59798620

Least Common Multiple of 758,460,686 with GCF Formula

Least Common Multiple of 758,460,686 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 758,460,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,460,686) = 2

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

GCF(758,460,686) x common factors =2 x 2 = 4

LCM(758,460,686) = ( 758 × 460 × 686 ) / 4

LCM(758,460,686) = 239194480 / 4

LCM(758,460,686) = 59798620


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 615/758, 974/460, 787/686

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 615/758, 974/460, 787/686?

Answer: GCF of Numerators as per given numbers 615/758, 974/460, 787/686 is

GCF of Numerators i.e. for 615,974,787 is 1

LCM of denominators i.e. for 758,460,686 is 59798620.

Thus, GCF of Fractions is 1/59798620.Finally, GCF of Fractions for 615/758, 974/460, 787/686 is 1/59798620.