Greatest Common Factor of 6954/374, 9294/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6954/374, 9294/864

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 6954/374,9294/864

Given fractions are 6954/374,9294/864

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 6954,9294

Greatest Common Factor of Numerators i.e. GCF of 6954,9294 is 6 .

LCM of Denominators means LCM of 374,864 as per the given fractions.

LCM of 374,864 is 161568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6954,9294

GCF of Fractions 6954/374,9294/864 is 6/161568

2 6954, 9294
3 3477, 4647
1159, 1549

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6954,9294 By Matching Biggest Common Factor Method

Greatest Common Factor of 6954,9294 By Matching Biggest Common Factor Method

Factors of 6954

List of positive integer factors of 6954 that divides 6954 without a remainder.

1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954

Factors of 9294

List of positive integer factors of 9294 that divides 9294 without a remainder.

1,2,3,6,1549,3098,4647,9294

Greatest Common Factor

We found the factors 6954,9294 . The biggest common factor number is the GCF number.
So the greatest common factor 6954,9294 is 6.

Lets's calculate LCM of 374,864

2 374, 864
187, 432

∴ So the LCM of the given numbers is 2 x 187 x 432 = 161568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/161568

Therefore, the GCF of Fractions 6954/374,9294/864 is 6/161568

Least Common Multiple of 374,864 with GCF Formula

Least Common Multiple of 374,864 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 374,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,864) = 2

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

GCF(374,864) x common factors =2 x 1 = 2

LCM(374,864) = ( 374 × 864 ) / 2

LCM(374,864) = 323136 / 2

LCM(374,864) = 161568


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 6954/374, 9294/864

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 6954/374, 9294/864?

Answer: GCF of Numerators as per given numbers 6954/374, 9294/864 is

GCF of Numerators i.e. for 6954,9294 is 6

LCM of denominators i.e. for 374,864 is 161568.

Thus, GCF of Fractions is 6/161568.Finally, GCF of Fractions for 6954/374, 9294/864 is 6/161568.