Greatest Common Factor of 6376/71, 1640/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6376/71, 1640/797

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 6376/71,1640/797

Given fractions are 6376/71,1640/797

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 6376,1640

Greatest Common Factor of Numerators i.e. GCF of 6376,1640 is 8 .

LCM of Denominators means LCM of 71,797 as per the given fractions.

LCM of 71,797 is 56587 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6376,1640

GCF of Fractions 6376/71,1640/797 is 8/56587

2 6376, 1640
2 3188, 820
2 1594, 410
797, 205

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6376,1640 By Matching Biggest Common Factor Method

Greatest Common Factor of 6376,1640 By Matching Biggest Common Factor Method

Factors of 6376

List of positive integer factors of 6376 that divides 6376 without a remainder.

1,2,4,8,797,1594,3188,6376

Factors of 1640

List of positive integer factors of 1640 that divides 1640 without a remainder.

1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640

Greatest Common Factor

We found the factors 6376,1640 . The biggest common factor number is the GCF number.
So the greatest common factor 6376,1640 is 8.

Lets's calculate LCM of 71,797

Given numbers has no common factors except 1. So, there LCM is their product i.e 56587

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/56587

Therefore, the GCF of Fractions 6376/71,1640/797 is 8/56587

Least Common Multiple of 71,797 with GCF Formula

Least Common Multiple of 71,797 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 71,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,797) = 1

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

GCF(71,797) x common factors =1 x 1 = 1

LCM(71,797) = ( 71 × 797 ) / 1

LCM(71,797) = 56587 / 1

LCM(71,797) = 56587


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 6376/71, 1640/797

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 6376/71, 1640/797?

Answer: GCF of Numerators as per given numbers 6376/71, 1640/797 is

GCF of Numerators i.e. for 6376,1640 is 8

LCM of denominators i.e. for 71,797 is 56587.

Thus, GCF of Fractions is 8/56587.Finally, GCF of Fractions for 6376/71, 1640/797 is 8/56587.