Greatest Common Factor of 8652/682, 5998/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8652/682, 5998/475

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 8652/682,5998/475

Given fractions are 8652/682,5998/475

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 8652,5998

Greatest Common Factor of Numerators i.e. GCF of 8652,5998 is 2 .

LCM of Denominators means LCM of 682,475 as per the given fractions.

LCM of 682,475 is 323950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8652,5998

GCF of Fractions 8652/682,5998/475 is 2/323950

2 8652, 5998
4326, 2999

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

Greatest Common Factor of 8652,5998 By Matching Biggest Common Factor Method

Greatest Common Factor of 8652,5998 By Matching Biggest Common Factor Method

Factors of 8652

List of positive integer factors of 8652 that divides 8652 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652

Factors of 5998

List of positive integer factors of 5998 that divides 5998 without a remainder.

1,2,2999,5998

Greatest Common Factor

We found the factors 8652,5998 . The biggest common factor number is the GCF number.
So the greatest common factor 8652,5998 is 2.

Lets's calculate LCM of 682,475

Given numbers has no common factors except 1. So, there LCM is their product i.e 323950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/323950

Therefore, the GCF of Fractions 8652/682,5998/475 is 2/323950

Least Common Multiple of 682,475 with GCF Formula

Least Common Multiple of 682,475 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 682,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,475) = 1

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

GCF(682,475) x common factors =1 x 1 = 1

LCM(682,475) = ( 682 × 475 ) / 1

LCM(682,475) = 323950 / 1

LCM(682,475) = 323950


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 8652/682, 5998/475

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 8652/682, 5998/475?

Answer: GCF of Numerators as per given numbers 8652/682, 5998/475 is

GCF of Numerators i.e. for 8652,5998 is 2

LCM of denominators i.e. for 682,475 is 323950.

Thus, GCF of Fractions is 2/323950.Finally, GCF of Fractions for 8652/682, 5998/475 is 2/323950.