Greatest Common Factor of 8354/748, 6884/5952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8354/748, 6884/5952

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 8354/748,6884/5952

Given fractions are 8354/748,6884/5952

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 8354,6884

Greatest Common Factor of Numerators i.e. GCF of 8354,6884 is 2 .

LCM of Denominators means LCM of 748,5952 as per the given fractions.

LCM of 748,5952 is 1113024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8354,6884

GCF of Fractions 8354/748,6884/5952 is 2/1113024

2 8354, 6884
4177, 3442

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

Greatest Common Factor of 8354,6884 By Matching Biggest Common Factor Method

Greatest Common Factor of 8354,6884 By Matching Biggest Common Factor Method

Factors of 8354

List of positive integer factors of 8354 that divides 8354 without a remainder.

1,2,4177,8354

Factors of 6884

List of positive integer factors of 6884 that divides 6884 without a remainder.

1,2,4,1721,3442,6884

Greatest Common Factor

We found the factors 8354,6884 . The biggest common factor number is the GCF number.
So the greatest common factor 8354,6884 is 2.

Lets's calculate LCM of 748,5952

2 748, 5952
2 374, 2976
187, 1488

∴ So the LCM of the given numbers is 2 x 2 x 187 x 1488 = 1113024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1113024

Therefore, the GCF of Fractions 8354/748,6884/5952 is 2/1113024

Least Common Multiple of 748,5952 with GCF Formula

Least Common Multiple of 748,5952 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 748,5952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,5952) = 4

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

GCF(748,5952) x common factors =4 x 1 = 4

LCM(748,5952) = ( 748 × 5952 ) / 4

LCM(748,5952) = 4452096 / 4

LCM(748,5952) = 1113024


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 8354/748, 6884/5952

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 8354/748, 6884/5952?

Answer: GCF of Numerators as per given numbers 8354/748, 6884/5952 is

GCF of Numerators i.e. for 8354,6884 is 2

LCM of denominators i.e. for 748,5952 is 1113024.

Thus, GCF of Fractions is 2/1113024.Finally, GCF of Fractions for 8354/748, 6884/5952 is 2/1113024.