Greatest Common Factor of 9147/69, 6113/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9147/69, 6113/208

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 9147/69,6113/208

Given fractions are 9147/69,6113/208

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 9147,6113

Greatest Common Factor of Numerators i.e. GCF of 9147,6113 is 1 .

LCM of Denominators means LCM of 69,208 as per the given fractions.

LCM of 69,208 is 14352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9147,6113

GCF of Fractions 9147/69,6113/208 is 1/14352

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

Greatest Common Factor of 9147,6113 By Matching Biggest Common Factor Method

Greatest Common Factor of 9147,6113 By Matching Biggest Common Factor Method

Factors of 9147

List of positive integer factors of 9147 that divides 9147 without a remainder.

1,3,3049,9147

Factors of 6113

List of positive integer factors of 6113 that divides 6113 without a remainder.

1,6113

Greatest Common Factor

We found the factors 9147,6113 . The biggest common factor number is the GCF number.
So the greatest common factor 9147,6113 is 1.

Lets's calculate LCM of 69,208

Given numbers has no common factors except 1. So, there LCM is their product i.e 14352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14352

Therefore, the GCF of Fractions 9147/69,6113/208 is 1/14352

Least Common Multiple of 69,208 with GCF Formula

Least Common Multiple of 69,208 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 69,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,208) = 1

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

GCF(69,208) x common factors =1 x 1 = 1

LCM(69,208) = ( 69 × 208 ) / 1

LCM(69,208) = 14352 / 1

LCM(69,208) = 14352


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 9147/69, 6113/208

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 9147/69, 6113/208?

Answer: GCF of Numerators as per given numbers 9147/69, 6113/208 is

GCF of Numerators i.e. for 9147,6113 is 1

LCM of denominators i.e. for 69,208 is 14352.

Thus, GCF of Fractions is 1/14352.Finally, GCF of Fractions for 9147/69, 6113/208 is 1/14352.