Greatest Common Factor of 876/242, 578/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 876/242, 578/974

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 876/242,578/974

Given fractions are 876/242,578/974

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 876,578

Greatest Common Factor of Numerators i.e. GCF of 876,578 is 2 .

LCM of Denominators means LCM of 242,974 as per the given fractions.

LCM of 242,974 is 117854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 876,578

GCF of Fractions 876/242,578/974 is 2/117854

2 876, 578
438, 289

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 876,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,578 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 876,578 . The biggest common factor number is the GCF number.
So the greatest common factor 876,578 is 2.

Lets's calculate LCM of 242,974

2 242, 974
121, 487

∴ So the LCM of the given numbers is 2 x 121 x 487 = 117854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117854

Therefore, the GCF of Fractions 876/242,578/974 is 2/117854

Least Common Multiple of 242,974 with GCF Formula

Least Common Multiple of 242,974 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 242,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,974) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(242,974) x common factors =2 x 1 = 2

LCM(242,974) = ( 242 × 974 ) / 2

LCM(242,974) = 235708 / 2

LCM(242,974) = 117854


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 876/242, 578/974

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 876/242, 578/974?

Answer: GCF of Numerators as per given numbers 876/242, 578/974 is

GCF of Numerators i.e. for 876,578 is 2

LCM of denominators i.e. for 242,974 is 117854.

Thus, GCF of Fractions is 2/117854.Finally, GCF of Fractions for 876/242, 578/974 is 2/117854.