Greatest Common Factor of 7197/858, 3189/9343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7197/858, 3189/9343

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 7197/858,3189/9343

Given fractions are 7197/858,3189/9343

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 7197,3189

Greatest Common Factor of Numerators i.e. GCF of 7197,3189 is 3 .

LCM of Denominators means LCM of 858,9343 as per the given fractions.

LCM of 858,9343 is 8016294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7197,3189

GCF of Fractions 7197/858,3189/9343 is 3/8016294

3 7197, 3189
2399, 1063

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7197,3189 By Matching Biggest Common Factor Method

Greatest Common Factor of 7197,3189 By Matching Biggest Common Factor Method

Factors of 7197

List of positive integer factors of 7197 that divides 7197 without a remainder.

1,3,2399,7197

Factors of 3189

List of positive integer factors of 3189 that divides 3189 without a remainder.

1,3,1063,3189

Greatest Common Factor

We found the factors 7197,3189 . The biggest common factor number is the GCF number.
So the greatest common factor 7197,3189 is 3.

Lets's calculate LCM of 858,9343

Given numbers has no common factors except 1. So, there LCM is their product i.e 8016294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8016294

Therefore, the GCF of Fractions 7197/858,3189/9343 is 3/8016294

Least Common Multiple of 858,9343 with GCF Formula

Least Common Multiple of 858,9343 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 858,9343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,9343) = 1

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

GCF(858,9343) x common factors =1 x 1 = 1

LCM(858,9343) = ( 858 × 9343 ) / 1

LCM(858,9343) = 8016294 / 1

LCM(858,9343) = 8016294


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 7197/858, 3189/9343

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 7197/858, 3189/9343?

Answer: GCF of Numerators as per given numbers 7197/858, 3189/9343 is

GCF of Numerators i.e. for 7197,3189 is 3

LCM of denominators i.e. for 858,9343 is 8016294.

Thus, GCF of Fractions is 3/8016294.Finally, GCF of Fractions for 7197/858, 3189/9343 is 3/8016294.