Greatest Common Factor of 9357/38, 5955/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9357/38, 5955/248

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 9357/38,5955/248

Given fractions are 9357/38,5955/248

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 9357,5955

Greatest Common Factor of Numerators i.e. GCF of 9357,5955 is 3 .

LCM of Denominators means LCM of 38,248 as per the given fractions.

LCM of 38,248 is 4712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9357,5955

GCF of Fractions 9357/38,5955/248 is 3/4712

3 9357, 5955
3119, 1985

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

Greatest Common Factor of 9357,5955 By Matching Biggest Common Factor Method

Greatest Common Factor of 9357,5955 By Matching Biggest Common Factor Method

Factors of 9357

List of positive integer factors of 9357 that divides 9357 without a remainder.

1,3,3119,9357

Factors of 5955

List of positive integer factors of 5955 that divides 5955 without a remainder.

1,3,5,15,397,1191,1985,5955

Greatest Common Factor

We found the factors 9357,5955 . The biggest common factor number is the GCF number.
So the greatest common factor 9357,5955 is 3.

Lets's calculate LCM of 38,248

2 38, 248
19, 124

∴ So the LCM of the given numbers is 2 x 19 x 124 = 4712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4712

Therefore, the GCF of Fractions 9357/38,5955/248 is 3/4712

Least Common Multiple of 38,248 with GCF Formula

Least Common Multiple of 38,248 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 38,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,248) = 2

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

GCF(38,248) x common factors =2 x 1 = 2

LCM(38,248) = ( 38 × 248 ) / 2

LCM(38,248) = 9424 / 2

LCM(38,248) = 4712


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 9357/38, 5955/248

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 9357/38, 5955/248?

Answer: GCF of Numerators as per given numbers 9357/38, 5955/248 is

GCF of Numerators i.e. for 9357,5955 is 3

LCM of denominators i.e. for 38,248 is 4712.

Thus, GCF of Fractions is 3/4712.Finally, GCF of Fractions for 9357/38, 5955/248 is 3/4712.