Greatest Common Factor of 7009/976, 9147/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7009/976, 9147/204

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 7009/976,9147/204

Given fractions are 7009/976,9147/204

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 7009,9147

Greatest Common Factor of Numerators i.e. GCF of 7009,9147 is 1 .

LCM of Denominators means LCM of 976,204 as per the given fractions.

LCM of 976,204 is 49776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7009,9147

GCF of Fractions 7009/976,9147/204 is 1/49776

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

Greatest Common Factor of 7009,9147 By Matching Biggest Common Factor Method

Greatest Common Factor of 7009,9147 By Matching Biggest Common Factor Method

Factors of 7009

List of positive integer factors of 7009 that divides 7009 without a remainder.

1,43,163,7009

Factors of 9147

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

1,3,3049,9147

Greatest Common Factor

We found the factors 7009,9147 . The biggest common factor number is the GCF number.
So the greatest common factor 7009,9147 is 1.

Lets's calculate LCM of 976,204

2 976, 204
2 488, 102
244, 51

∴ So the LCM of the given numbers is 2 x 2 x 244 x 51 = 49776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49776

Therefore, the GCF of Fractions 7009/976,9147/204 is 1/49776

Least Common Multiple of 976,204 with GCF Formula

Least Common Multiple of 976,204 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 976,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,204) = 4

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

GCF(976,204) x common factors =4 x 1 = 4

LCM(976,204) = ( 976 × 204 ) / 4

LCM(976,204) = 199104 / 4

LCM(976,204) = 49776


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 7009/976, 9147/204

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 7009/976, 9147/204?

Answer: GCF of Numerators as per given numbers 7009/976, 9147/204 is

GCF of Numerators i.e. for 7009,9147 is 1

LCM of denominators i.e. for 976,204 is 49776.

Thus, GCF of Fractions is 1/49776.Finally, GCF of Fractions for 7009/976, 9147/204 is 1/49776.