Greatest Common Factor of 6560/677, 1164/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6560/677, 1164/889

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 6560/677,1164/889

Given fractions are 6560/677,1164/889

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 6560,1164

Greatest Common Factor of Numerators i.e. GCF of 6560,1164 is 4 .

LCM of Denominators means LCM of 677,889 as per the given fractions.

LCM of 677,889 is 601853 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6560,1164

GCF of Fractions 6560/677,1164/889 is 4/601853

2 6560, 1164
2 3280, 582
1640, 291

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6560,1164 By Matching Biggest Common Factor Method

Greatest Common Factor of 6560,1164 By Matching Biggest Common Factor Method

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

Factors of 1164

List of positive integer factors of 1164 that divides 1164 without a remainder.

1,2,3,4,6,12,97,194,291,388,582,1164

Greatest Common Factor

We found the factors 6560,1164 . The biggest common factor number is the GCF number.
So the greatest common factor 6560,1164 is 4.


Lets's calculate LCM of 677,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 601853

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/601853

Therefore, the GCF of Fractions 6560/677,1164/889 is 4/601853

Least Common Multiple of 677,889 with GCF Formula

Least Common Multiple of 677,889 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 677,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,889) = 1

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

GCF(677,889) x common factors =1 x 1 = 1

LCM(677,889) = ( 677 × 889 ) / 1

LCM(677,889) = 601853 / 1

LCM(677,889) = 601853


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6560/677, 1164/889

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 6560/677, 1164/889?

Answer: GCF of Numerators as per given numbers 6560/677, 1164/889 is

GCF of Numerators i.e. for 6560,1164 is 4

LCM of denominators i.e. for 677,889 is 601853.

Thus, GCF of Fractions is 4/601853.Finally, GCF of Fractions for 6560/677, 1164/889 is 4/601853.