Greatest Common Factor of 8697/583, 1652/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8697/583, 1652/902

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 8697/583,1652/902

Given fractions are 8697/583,1652/902

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 8697,1652

Greatest Common Factor of Numerators i.e. GCF of 8697,1652 is 1 .

LCM of Denominators means LCM of 583,902 as per the given fractions.

LCM of 583,902 is 47806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8697,1652

GCF of Fractions 8697/583,1652/902 is 1/47806

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

Greatest Common Factor of 8697,1652 By Matching Biggest Common Factor Method

Greatest Common Factor of 8697,1652 By Matching Biggest Common Factor Method

Factors of 8697

List of positive integer factors of 8697 that divides 8697 without a remainder.

1,3,13,39,223,669,2899,8697

Factors of 1652

List of positive integer factors of 1652 that divides 1652 without a remainder.

1,2,4,7,14,28,59,118,236,413,826,1652

Greatest Common Factor

We found the factors 8697,1652 . The biggest common factor number is the GCF number.
So the greatest common factor 8697,1652 is 1.

Lets's calculate LCM of 583,902

11 583, 902
53, 82

∴ So the LCM of the given numbers is 11 x 53 x 82 = 47806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47806

Therefore, the GCF of Fractions 8697/583,1652/902 is 1/47806

Least Common Multiple of 583,902 with GCF Formula

Least Common Multiple of 583,902 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 583,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,902) = 11

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

GCF(583,902) x common factors =11 x 1 = 11

LCM(583,902) = ( 583 × 902 ) / 11

LCM(583,902) = 525866 / 11

LCM(583,902) = 47806


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 8697/583, 1652/902

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 8697/583, 1652/902?

Answer: GCF of Numerators as per given numbers 8697/583, 1652/902 is

GCF of Numerators i.e. for 8697,1652 is 1

LCM of denominators i.e. for 583,902 is 47806.

Thus, GCF of Fractions is 1/47806.Finally, GCF of Fractions for 8697/583, 1652/902 is 1/47806.