Greatest Common Factor of 8975/616, 6684/6800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8975/616, 6684/6800

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 8975/616,6684/6800

Given fractions are 8975/616,6684/6800

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 8975,6684

Greatest Common Factor of Numerators i.e. GCF of 8975,6684 is 1 .

LCM of Denominators means LCM of 616,6800 as per the given fractions.

LCM of 616,6800 is 523600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8975,6684

GCF of Fractions 8975/616,6684/6800 is 1/523600

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8975,6684 By Matching Biggest Common Factor Method

Greatest Common Factor of 8975,6684 By Matching Biggest Common Factor Method

Factors of 8975

List of positive integer factors of 8975 that divides 8975 without a remainder.

1,5,25,359,1795,8975

Factors of 6684

List of positive integer factors of 6684 that divides 6684 without a remainder.

1,2,3,4,6,12,557,1114,1671,2228,3342,6684

Greatest Common Factor

We found the factors 8975,6684 . The biggest common factor number is the GCF number.
So the greatest common factor 8975,6684 is 1.

Lets's calculate LCM of 616,6800

2 616, 6800
2 308, 3400
2 154, 1700
77, 850

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 850 = 523600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/523600

Therefore, the GCF of Fractions 8975/616,6684/6800 is 1/523600

Least Common Multiple of 616,6800 with GCF Formula

Least Common Multiple of 616,6800 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 616,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,6800) = 8

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

GCF(616,6800) x common factors =8 x 1 = 8

LCM(616,6800) = ( 616 × 6800 ) / 8

LCM(616,6800) = 4188800 / 8

LCM(616,6800) = 523600


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 8975/616, 6684/6800

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 8975/616, 6684/6800?

Answer: GCF of Numerators as per given numbers 8975/616, 6684/6800 is

GCF of Numerators i.e. for 8975,6684 is 1

LCM of denominators i.e. for 616,6800 is 523600.

Thus, GCF of Fractions is 1/523600.Finally, GCF of Fractions for 8975/616, 6684/6800 is 1/523600.