Greatest Common Factor of 7354/660, 8934/1392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7354/660, 8934/1392

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 7354/660,8934/1392

Given fractions are 7354/660,8934/1392

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 7354,8934

Greatest Common Factor of Numerators i.e. GCF of 7354,8934 is 2 .

LCM of Denominators means LCM of 660,1392 as per the given fractions.

LCM of 660,1392 is 76560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7354,8934

GCF of Fractions 7354/660,8934/1392 is 2/76560

2 7354, 8934
3677, 4467

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

Greatest Common Factor of 7354,8934 By Matching Biggest Common Factor Method

Greatest Common Factor of 7354,8934 By Matching Biggest Common Factor Method

Factors of 7354

List of positive integer factors of 7354 that divides 7354 without a remainder.

1,2,3677,7354

Factors of 8934

List of positive integer factors of 8934 that divides 8934 without a remainder.

1,2,3,6,1489,2978,4467,8934

Greatest Common Factor

We found the factors 7354,8934 . The biggest common factor number is the GCF number.
So the greatest common factor 7354,8934 is 2.

Lets's calculate LCM of 660,1392

2 660, 1392
2 330, 696
3 165, 348
55, 116

∴ So the LCM of the given numbers is 2 x 2 x 3 x 55 x 116 = 76560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76560

Therefore, the GCF of Fractions 7354/660,8934/1392 is 2/76560

Least Common Multiple of 660,1392 with GCF Formula

Least Common Multiple of 660,1392 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 660,1392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,1392) = 12

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

GCF(660,1392) x common factors =12 x 1 = 12

LCM(660,1392) = ( 660 × 1392 ) / 12

LCM(660,1392) = 918720 / 12

LCM(660,1392) = 76560


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 7354/660, 8934/1392

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 7354/660, 8934/1392?

Answer: GCF of Numerators as per given numbers 7354/660, 8934/1392 is

GCF of Numerators i.e. for 7354,8934 is 2

LCM of denominators i.e. for 660,1392 is 76560.

Thus, GCF of Fractions is 2/76560.Finally, GCF of Fractions for 7354/660, 8934/1392 is 2/76560.