Greatest Common Factor of 6946/840, 2956/7990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6946/840, 2956/7990

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 6946/840,2956/7990

Given fractions are 6946/840,2956/7990

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 6946,2956

Greatest Common Factor of Numerators i.e. GCF of 6946,2956 is 2 .

LCM of Denominators means LCM of 840,7990 as per the given fractions.

LCM of 840,7990 is 671160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6946,2956

GCF of Fractions 6946/840,2956/7990 is 2/671160

2 6946, 2956
3473, 1478

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

Greatest Common Factor of 6946,2956 By Matching Biggest Common Factor Method

Greatest Common Factor of 6946,2956 By Matching Biggest Common Factor Method

Factors of 6946

List of positive integer factors of 6946 that divides 6946 without a remainder.

1,2,23,46,151,302,3473,6946

Factors of 2956

List of positive integer factors of 2956 that divides 2956 without a remainder.

1,2,4,739,1478,2956

Greatest Common Factor

We found the factors 6946,2956 . The biggest common factor number is the GCF number.
So the greatest common factor 6946,2956 is 2.

Lets's calculate LCM of 840,7990

2 840, 7990
5 420, 3995
84, 799

∴ So the LCM of the given numbers is 2 x 5 x 84 x 799 = 671160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/671160

Therefore, the GCF of Fractions 6946/840,2956/7990 is 2/671160

Least Common Multiple of 840,7990 with GCF Formula

Least Common Multiple of 840,7990 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 840,7990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,7990) = 10

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

GCF(840,7990) x common factors =10 x 1 = 10

LCM(840,7990) = ( 840 × 7990 ) / 10

LCM(840,7990) = 6711600 / 10

LCM(840,7990) = 671160


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 6946/840, 2956/7990

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 6946/840, 2956/7990?

Answer: GCF of Numerators as per given numbers 6946/840, 2956/7990 is

GCF of Numerators i.e. for 6946,2956 is 2

LCM of denominators i.e. for 840,7990 is 671160.

Thus, GCF of Fractions is 2/671160.Finally, GCF of Fractions for 6946/840, 2956/7990 is 2/671160.