Greatest Common Factor of 9656/920, 8041/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9656/920, 8041/189

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 9656/920,8041/189

Given fractions are 9656/920,8041/189

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 9656,8041

Greatest Common Factor of Numerators i.e. GCF of 9656,8041 is 17 .

LCM of Denominators means LCM of 920,189 as per the given fractions.

LCM of 920,189 is 173880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9656,8041

GCF of Fractions 9656/920,8041/189 is 17/173880

17 9656, 8041
568, 473

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 9656,8041 By Matching Biggest Common Factor Method

Greatest Common Factor of 9656,8041 By Matching Biggest Common Factor Method

Factors of 9656

List of positive integer factors of 9656 that divides 9656 without a remainder.

1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656

Factors of 8041

List of positive integer factors of 8041 that divides 8041 without a remainder.

1,11,17,43,187,473,731,8041

Greatest Common Factor

We found the factors 9656,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 9656,8041 is 17.

Lets's calculate LCM of 920,189

Given numbers has no common factors except 1. So, there LCM is their product i.e 173880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/173880

Therefore, the GCF of Fractions 9656/920,8041/189 is 17/173880

Least Common Multiple of 920,189 with GCF Formula

Least Common Multiple of 920,189 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 920,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,189) = 1

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

GCF(920,189) x common factors =1 x 1 = 1

LCM(920,189) = ( 920 × 189 ) / 1

LCM(920,189) = 173880 / 1

LCM(920,189) = 173880


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 9656/920, 8041/189

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 9656/920, 8041/189?

Answer: GCF of Numerators as per given numbers 9656/920, 8041/189 is

GCF of Numerators i.e. for 9656,8041 is 17

LCM of denominators i.e. for 920,189 is 173880.

Thus, GCF of Fractions is 17/173880.Finally, GCF of Fractions for 9656/920, 8041/189 is 17/173880.