Greatest Common Factor of 7482/994, 2142/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7482/994, 2142/213

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 7482/994,2142/213

Given fractions are 7482/994,2142/213

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 7482,2142

Greatest Common Factor of Numerators i.e. GCF of 7482,2142 is 6 .

LCM of Denominators means LCM of 994,213 as per the given fractions.

LCM of 994,213 is 2982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7482,2142

GCF of Fractions 7482/994,2142/213 is 6/2982

2 7482, 2142
3 3741, 1071
1247, 357

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

Greatest Common Factor of 7482,2142 By Matching Biggest Common Factor Method

Greatest Common Factor of 7482,2142 By Matching Biggest Common Factor Method

Factors of 7482

List of positive integer factors of 7482 that divides 7482 without a remainder.

1,2,3,6,29,43,58,86,87,129,174,258,1247,2494,3741,7482

Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142

Greatest Common Factor

We found the factors 7482,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 7482,2142 is 6.

Lets's calculate LCM of 994,213

71 994, 213
14, 3

∴ So the LCM of the given numbers is 71 x 14 x 3 = 2982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2982

Therefore, the GCF of Fractions 7482/994,2142/213 is 6/2982

Least Common Multiple of 994,213 with GCF Formula

Least Common Multiple of 994,213 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 994,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,213) = 71

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

GCF(994,213) x common factors =71 x 1 = 71

LCM(994,213) = ( 994 × 213 ) / 71

LCM(994,213) = 211722 / 71

LCM(994,213) = 2982


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 7482/994, 2142/213

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 7482/994, 2142/213?

Answer: GCF of Numerators as per given numbers 7482/994, 2142/213 is

GCF of Numerators i.e. for 7482,2142 is 6

LCM of denominators i.e. for 994,213 is 2982.

Thus, GCF of Fractions is 6/2982.Finally, GCF of Fractions for 7482/994, 2142/213 is 6/2982.