Greatest Common Factor of 8948/738, 4024/3014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8948/738, 4024/3014

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 8948/738,4024/3014

Given fractions are 8948/738,4024/3014

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 8948,4024

Greatest Common Factor of Numerators i.e. GCF of 8948,4024 is 4 .

LCM of Denominators means LCM of 738,3014 as per the given fractions.

LCM of 738,3014 is 1112166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8948,4024

GCF of Fractions 8948/738,4024/3014 is 4/1112166

2 8948, 4024
2 4474, 2012
2237, 1006

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

Greatest Common Factor of 8948,4024 By Matching Biggest Common Factor Method

Greatest Common Factor of 8948,4024 By Matching Biggest Common Factor Method

Factors of 8948

List of positive integer factors of 8948 that divides 8948 without a remainder.

1,2,4,2237,4474,8948

Factors of 4024

List of positive integer factors of 4024 that divides 4024 without a remainder.

1,2,4,8,503,1006,2012,4024

Greatest Common Factor

We found the factors 8948,4024 . The biggest common factor number is the GCF number.
So the greatest common factor 8948,4024 is 4.

Lets's calculate LCM of 738,3014

2 738, 3014
369, 1507

∴ So the LCM of the given numbers is 2 x 369 x 1507 = 1112166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1112166

Therefore, the GCF of Fractions 8948/738,4024/3014 is 4/1112166

Least Common Multiple of 738,3014 with GCF Formula

Least Common Multiple of 738,3014 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 738,3014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,3014) = 2

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

GCF(738,3014) x common factors =2 x 1 = 2

LCM(738,3014) = ( 738 × 3014 ) / 2

LCM(738,3014) = 2224332 / 2

LCM(738,3014) = 1112166


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 8948/738, 4024/3014

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 8948/738, 4024/3014?

Answer: GCF of Numerators as per given numbers 8948/738, 4024/3014 is

GCF of Numerators i.e. for 8948,4024 is 4

LCM of denominators i.e. for 738,3014 is 1112166.

Thus, GCF of Fractions is 4/1112166.Finally, GCF of Fractions for 8948/738, 4024/3014 is 4/1112166.