Greatest Common Factor of 8946/298, 9079/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8946/298, 9079/142

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 8946/298,9079/142

Given fractions are 8946/298,9079/142

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 8946,9079

Greatest Common Factor of Numerators i.e. GCF of 8946,9079 is 7 .

LCM of Denominators means LCM of 298,142 as per the given fractions.

LCM of 298,142 is 21158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8946,9079

GCF of Fractions 8946/298,9079/142 is 7/21158

7 8946, 9079
1278, 1297

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8946,9079 By Matching Biggest Common Factor Method

Greatest Common Factor of 8946,9079 By Matching Biggest Common Factor Method

Factors of 8946

List of positive integer factors of 8946 that divides 8946 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946

Factors of 9079

List of positive integer factors of 9079 that divides 9079 without a remainder.

1,7,1297,9079

Greatest Common Factor

We found the factors 8946,9079 . The biggest common factor number is the GCF number.
So the greatest common factor 8946,9079 is 7.

Lets's calculate LCM of 298,142

2 298, 142
149, 71

∴ So the LCM of the given numbers is 2 x 149 x 71 = 21158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/21158

Therefore, the GCF of Fractions 8946/298,9079/142 is 7/21158

Least Common Multiple of 298,142 with GCF Formula

Least Common Multiple of 298,142 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 298,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,142) = 2

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

GCF(298,142) x common factors =2 x 1 = 2

LCM(298,142) = ( 298 × 142 ) / 2

LCM(298,142) = 42316 / 2

LCM(298,142) = 21158


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 8946/298, 9079/142

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 8946/298, 9079/142?

Answer: GCF of Numerators as per given numbers 8946/298, 9079/142 is

GCF of Numerators i.e. for 8946,9079 is 7

LCM of denominators i.e. for 298,142 is 21158.

Thus, GCF of Fractions is 7/21158.Finally, GCF of Fractions for 8946/298, 9079/142 is 7/21158.