Greatest Common Factor of 6880/368, 6560/8116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6880/368, 6560/8116

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 6880/368,6560/8116

Given fractions are 6880/368,6560/8116

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 6880,6560

Greatest Common Factor of Numerators i.e. GCF of 6880,6560 is 160 .

LCM of Denominators means LCM of 368,8116 as per the given fractions.

LCM of 368,8116 is 746672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6880,6560

GCF of Fractions 6880/368,6560/8116 is 160/746672

2 6880, 6560
2 3440, 3280
2 1720, 1640
2 860, 820
2 430, 410
5 215, 205
43, 41

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 = 160

Greatest Common Factor of 6880,6560 By Matching Biggest Common Factor Method

Greatest Common Factor of 6880,6560 By Matching Biggest Common Factor Method

Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880

Factors of 6560

List of positive integer factors of 6560 that divides 6560 without a remainder.

1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560

Greatest Common Factor

We found the factors 6880,6560 . The biggest common factor number is the GCF number.
So the greatest common factor 6880,6560 is 160.

Lets's calculate LCM of 368,8116

2 368, 8116
2 184, 4058
92, 2029

∴ So the LCM of the given numbers is 2 x 2 x 92 x 2029 = 746672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 160/746672

Therefore, the GCF of Fractions 6880/368,6560/8116 is 160/746672

Least Common Multiple of 368,8116 with GCF Formula

Least Common Multiple of 368,8116 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 368,8116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,8116) = 4

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

GCF(368,8116) x common factors =4 x 1 = 4

LCM(368,8116) = ( 368 × 8116 ) / 4

LCM(368,8116) = 2986688 / 4

LCM(368,8116) = 746672


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 6880/368, 6560/8116

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 6880/368, 6560/8116?

Answer: GCF of Numerators as per given numbers 6880/368, 6560/8116 is

GCF of Numerators i.e. for 6880,6560 is 160

LCM of denominators i.e. for 368,8116 is 746672.

Thus, GCF of Fractions is 160/746672.Finally, GCF of Fractions for 6880/368, 6560/8116 is 160/746672.