Greatest Common Factor of 9040/25, 4468/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9040/25, 4468/395

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 9040/25,4468/395

Given fractions are 9040/25,4468/395

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 9040,4468

Greatest Common Factor of Numerators i.e. GCF of 9040,4468 is 4 .

LCM of Denominators means LCM of 25,395 as per the given fractions.

LCM of 25,395 is 1975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9040,4468

GCF of Fractions 9040/25,4468/395 is 4/1975

2 9040, 4468
2 4520, 2234
2260, 1117

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9040,4468 By Matching Biggest Common Factor Method

Greatest Common Factor of 9040,4468 By Matching Biggest Common Factor Method

Factors of 9040

List of positive integer factors of 9040 that divides 9040 without a remainder.

1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040

Factors of 4468

List of positive integer factors of 4468 that divides 4468 without a remainder.

1,2,4,1117,2234,4468

Greatest Common Factor

We found the factors 9040,4468 . The biggest common factor number is the GCF number.
So the greatest common factor 9040,4468 is 4.

Lets's calculate LCM of 25,395

5 25, 395
5, 79

∴ So the LCM of the given numbers is 5 x 5 x 79 = 1975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1975

Therefore, the GCF of Fractions 9040/25,4468/395 is 4/1975

Least Common Multiple of 25,395 with GCF Formula

Least Common Multiple of 25,395 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 25,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,395) = 5

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

GCF(25,395) x common factors =5 x 1 = 5

LCM(25,395) = ( 25 × 395 ) / 5

LCM(25,395) = 9875 / 5

LCM(25,395) = 1975


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 9040/25, 4468/395

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 9040/25, 4468/395?

Answer: GCF of Numerators as per given numbers 9040/25, 4468/395 is

GCF of Numerators i.e. for 9040,4468 is 4

LCM of denominators i.e. for 25,395 is 1975.

Thus, GCF of Fractions is 4/1975.Finally, GCF of Fractions for 9040/25, 4468/395 is 4/1975.