Greatest Common Factor of 9316/38, 2874/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9316/38, 2874/948

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 9316/38,2874/948

Given fractions are 9316/38,2874/948

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 9316,2874

Greatest Common Factor of Numerators i.e. GCF of 9316,2874 is 2 .

LCM of Denominators means LCM of 38,948 as per the given fractions.

LCM of 38,948 is 18012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9316,2874

GCF of Fractions 9316/38,2874/948 is 2/18012

2 9316, 2874
4658, 1437

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

Greatest Common Factor of 9316,2874 By Matching Biggest Common Factor Method

Greatest Common Factor of 9316,2874 By Matching Biggest Common Factor Method

Factors of 9316

List of positive integer factors of 9316 that divides 9316 without a remainder.

1,2,4,17,34,68,137,274,548,2329,4658,9316

Factors of 2874

List of positive integer factors of 2874 that divides 2874 without a remainder.

1,2,3,6,479,958,1437,2874

Greatest Common Factor

We found the factors 9316,2874 . The biggest common factor number is the GCF number.
So the greatest common factor 9316,2874 is 2.

Lets's calculate LCM of 38,948

2 38, 948
19, 474

∴ So the LCM of the given numbers is 2 x 19 x 474 = 18012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18012

Therefore, the GCF of Fractions 9316/38,2874/948 is 2/18012

Least Common Multiple of 38,948 with GCF Formula

Least Common Multiple of 38,948 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 38,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,948) = 2

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

GCF(38,948) x common factors =2 x 1 = 2

LCM(38,948) = ( 38 × 948 ) / 2

LCM(38,948) = 36024 / 2

LCM(38,948) = 18012


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 9316/38, 2874/948

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 9316/38, 2874/948?

Answer: GCF of Numerators as per given numbers 9316/38, 2874/948 is

GCF of Numerators i.e. for 9316,2874 is 2

LCM of denominators i.e. for 38,948 is 18012.

Thus, GCF of Fractions is 2/18012.Finally, GCF of Fractions for 9316/38, 2874/948 is 2/18012.