Greatest Common Factor of 6898/20, 9654/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6898/20, 9654/189

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 6898/20,9654/189

Given fractions are 6898/20,9654/189

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 6898,9654

Greatest Common Factor of Numerators i.e. GCF of 6898,9654 is 2 .

LCM of Denominators means LCM of 20,189 as per the given fractions.

LCM of 20,189 is 3780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6898,9654

GCF of Fractions 6898/20,9654/189 is 2/3780

2 6898, 9654
3449, 4827

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

Greatest Common Factor of 6898,9654 By Matching Biggest Common Factor Method

Greatest Common Factor of 6898,9654 By Matching Biggest Common Factor Method

Factors of 6898

List of positive integer factors of 6898 that divides 6898 without a remainder.

1,2,3449,6898

Factors of 9654

List of positive integer factors of 9654 that divides 9654 without a remainder.

1,2,3,6,1609,3218,4827,9654

Greatest Common Factor

We found the factors 6898,9654 . The biggest common factor number is the GCF number.
So the greatest common factor 6898,9654 is 2.

Lets's calculate LCM of 20,189

Given numbers has no common factors except 1. So, there LCM is their product i.e 3780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3780

Therefore, the GCF of Fractions 6898/20,9654/189 is 2/3780

Least Common Multiple of 20,189 with GCF Formula

Least Common Multiple of 20,189 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 20,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,189) = 1

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

GCF(20,189) x common factors =1 x 1 = 1

LCM(20,189) = ( 20 × 189 ) / 1

LCM(20,189) = 3780 / 1

LCM(20,189) = 3780


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 6898/20, 9654/189

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 6898/20, 9654/189?

Answer: GCF of Numerators as per given numbers 6898/20, 9654/189 is

GCF of Numerators i.e. for 6898,9654 is 2

LCM of denominators i.e. for 20,189 is 3780.

Thus, GCF of Fractions is 2/3780.Finally, GCF of Fractions for 6898/20, 9654/189 is 2/3780.