Greatest Common Factor of 6712/371, 7930/8445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6712/371, 7930/8445

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 6712/371,7930/8445

Given fractions are 6712/371,7930/8445

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 6712,7930

Greatest Common Factor of Numerators i.e. GCF of 6712,7930 is 2 .

LCM of Denominators means LCM of 371,8445 as per the given fractions.

LCM of 371,8445 is 3133095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6712,7930

GCF of Fractions 6712/371,7930/8445 is 2/3133095

2 6712, 7930
3356, 3965

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

Greatest Common Factor of 6712,7930 By Matching Biggest Common Factor Method

Greatest Common Factor of 6712,7930 By Matching Biggest Common Factor Method

Factors of 6712

List of positive integer factors of 6712 that divides 6712 without a remainder.

1,2,4,8,839,1678,3356,6712

Factors of 7930

List of positive integer factors of 7930 that divides 7930 without a remainder.

1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930

Greatest Common Factor

We found the factors 6712,7930 . The biggest common factor number is the GCF number.
So the greatest common factor 6712,7930 is 2.

Lets's calculate LCM of 371,8445

Given numbers has no common factors except 1. So, there LCM is their product i.e 3133095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3133095

Therefore, the GCF of Fractions 6712/371,7930/8445 is 2/3133095

Least Common Multiple of 371,8445 with GCF Formula

Least Common Multiple of 371,8445 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 371,8445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,8445) = 1

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

GCF(371,8445) x common factors =1 x 1 = 1

LCM(371,8445) = ( 371 × 8445 ) / 1

LCM(371,8445) = 3133095 / 1

LCM(371,8445) = 3133095


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 6712/371, 7930/8445

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 6712/371, 7930/8445?

Answer: GCF of Numerators as per given numbers 6712/371, 7930/8445 is

GCF of Numerators i.e. for 6712,7930 is 2

LCM of denominators i.e. for 371,8445 is 3133095.

Thus, GCF of Fractions is 2/3133095.Finally, GCF of Fractions for 6712/371, 7930/8445 is 2/3133095.