Greatest Common Factor of 9534/84, 7892/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9534/84, 7892/655

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 9534/84,7892/655

Given fractions are 9534/84,7892/655

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 9534,7892

Greatest Common Factor of Numerators i.e. GCF of 9534,7892 is 2 .

LCM of Denominators means LCM of 84,655 as per the given fractions.

LCM of 84,655 is 55020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9534,7892

GCF of Fractions 9534/84,7892/655 is 2/55020

2 9534, 7892
4767, 3946

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

Greatest Common Factor of 9534,7892 By Matching Biggest Common Factor Method

Greatest Common Factor of 9534,7892 By Matching Biggest Common Factor Method

Factors of 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1,2,3,6,7,14,21,42,227,454,681,1362,1589,3178,4767,9534

Factors of 7892

List of positive integer factors of 7892 that divides 7892 without a remainder.

1,2,4,1973,3946,7892

Greatest Common Factor

We found the factors 9534,7892 . The biggest common factor number is the GCF number.
So the greatest common factor 9534,7892 is 2.

Lets's calculate LCM of 84,655

Given numbers has no common factors except 1. So, there LCM is their product i.e 55020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55020

Therefore, the GCF of Fractions 9534/84,7892/655 is 2/55020

Least Common Multiple of 84,655 with GCF Formula

Least Common Multiple of 84,655 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 84,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,655) = 1

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

GCF(84,655) x common factors =1 x 1 = 1

LCM(84,655) = ( 84 × 655 ) / 1

LCM(84,655) = 55020 / 1

LCM(84,655) = 55020


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 9534/84, 7892/655

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 9534/84, 7892/655?

Answer: GCF of Numerators as per given numbers 9534/84, 7892/655 is

GCF of Numerators i.e. for 9534,7892 is 2

LCM of denominators i.e. for 84,655 is 55020.

Thus, GCF of Fractions is 2/55020.Finally, GCF of Fractions for 9534/84, 7892/655 is 2/55020.