Greatest Common Factor of 7302/58, 1338/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7302/58, 1338/974

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 7302/58,1338/974

Given fractions are 7302/58,1338/974

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 7302,1338

Greatest Common Factor of Numerators i.e. GCF of 7302,1338 is 6 .

LCM of Denominators means LCM of 58,974 as per the given fractions.

LCM of 58,974 is 28246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7302,1338

GCF of Fractions 7302/58,1338/974 is 6/28246

2 7302, 1338
3 3651, 669
1217, 223

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

Greatest Common Factor of 7302,1338 By Matching Biggest Common Factor Method

Greatest Common Factor of 7302,1338 By Matching Biggest Common Factor Method

Factors of 7302

List of positive integer factors of 7302 that divides 7302 without a remainder.

1,2,3,6,1217,2434,3651,7302

Factors of 1338

List of positive integer factors of 1338 that divides 1338 without a remainder.

1,2,3,6,223,446,669,1338

Greatest Common Factor

We found the factors 7302,1338 . The biggest common factor number is the GCF number.
So the greatest common factor 7302,1338 is 6.

Lets's calculate LCM of 58,974

2 58, 974
29, 487

∴ So the LCM of the given numbers is 2 x 29 x 487 = 28246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/28246

Therefore, the GCF of Fractions 7302/58,1338/974 is 6/28246

Least Common Multiple of 58,974 with GCF Formula

Least Common Multiple of 58,974 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 58,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,974) = 2

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

GCF(58,974) x common factors =2 x 1 = 2

LCM(58,974) = ( 58 × 974 ) / 2

LCM(58,974) = 56492 / 2

LCM(58,974) = 28246


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 7302/58, 1338/974

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 7302/58, 1338/974?

Answer: GCF of Numerators as per given numbers 7302/58, 1338/974 is

GCF of Numerators i.e. for 7302,1338 is 6

LCM of denominators i.e. for 58,974 is 28246.

Thus, GCF of Fractions is 6/28246.Finally, GCF of Fractions for 7302/58, 1338/974 is 6/28246.