Greatest Common Factor of 7004/25, 9478/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7004/25, 9478/269

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 7004/25,9478/269

Given fractions are 7004/25,9478/269

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 7004,9478

Greatest Common Factor of Numerators i.e. GCF of 7004,9478 is 2 .

LCM of Denominators means LCM of 25,269 as per the given fractions.

LCM of 25,269 is 6725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7004,9478

GCF of Fractions 7004/25,9478/269 is 2/6725

2 7004, 9478
3502, 4739

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

Greatest Common Factor of 7004,9478 By Matching Biggest Common Factor Method

Greatest Common Factor of 7004,9478 By Matching Biggest Common Factor Method

Factors of 7004

List of positive integer factors of 7004 that divides 7004 without a remainder.

1,2,4,17,34,68,103,206,412,1751,3502,7004

Factors of 9478

List of positive integer factors of 9478 that divides 9478 without a remainder.

1,2,7,14,677,1354,4739,9478

Greatest Common Factor

We found the factors 7004,9478 . The biggest common factor number is the GCF number.
So the greatest common factor 7004,9478 is 2.

Lets's calculate LCM of 25,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 6725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6725

Therefore, the GCF of Fractions 7004/25,9478/269 is 2/6725

Least Common Multiple of 25,269 with GCF Formula

Least Common Multiple of 25,269 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 25,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,269) = 1

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

GCF(25,269) x common factors =1 x 1 = 1

LCM(25,269) = ( 25 × 269 ) / 1

LCM(25,269) = 6725 / 1

LCM(25,269) = 6725


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 7004/25, 9478/269

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 7004/25, 9478/269?

Answer: GCF of Numerators as per given numbers 7004/25, 9478/269 is

GCF of Numerators i.e. for 7004,9478 is 2

LCM of denominators i.e. for 25,269 is 6725.

Thus, GCF of Fractions is 2/6725.Finally, GCF of Fractions for 7004/25, 9478/269 is 2/6725.