Greatest Common Factor of 9438/425, 4239/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9438/425, 4239/295

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 9438/425,4239/295

Given fractions are 9438/425,4239/295

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 9438,4239

Greatest Common Factor of Numerators i.e. GCF of 9438,4239 is 3 .

LCM of Denominators means LCM of 425,295 as per the given fractions.

LCM of 425,295 is 25075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9438,4239

GCF of Fractions 9438/425,4239/295 is 3/25075

3 9438, 4239
3146, 1413

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9438,4239 By Matching Biggest Common Factor Method

Greatest Common Factor of 9438,4239 By Matching Biggest Common Factor Method

Factors of 9438

List of positive integer factors of 9438 that divides 9438 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438

Factors of 4239

List of positive integer factors of 4239 that divides 4239 without a remainder.

1,3,9,27,157,471,1413,4239

Greatest Common Factor

We found the factors 9438,4239 . The biggest common factor number is the GCF number.
So the greatest common factor 9438,4239 is 3.

Lets's calculate LCM of 425,295

5 425, 295
85, 59

∴ So the LCM of the given numbers is 5 x 85 x 59 = 25075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25075

Therefore, the GCF of Fractions 9438/425,4239/295 is 3/25075

Least Common Multiple of 425,295 with GCF Formula

Least Common Multiple of 425,295 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 425,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,295) = 5

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

GCF(425,295) x common factors =5 x 1 = 5

LCM(425,295) = ( 425 × 295 ) / 5

LCM(425,295) = 125375 / 5

LCM(425,295) = 25075


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 9438/425, 4239/295

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 9438/425, 4239/295?

Answer: GCF of Numerators as per given numbers 9438/425, 4239/295 is

GCF of Numerators i.e. for 9438,4239 is 3

LCM of denominators i.e. for 425,295 is 25075.

Thus, GCF of Fractions is 3/25075.Finally, GCF of Fractions for 9438/425, 4239/295 is 3/25075.