Greatest Common Factor of 8279/60, 8958/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8279/60, 8958/298

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 8279/60,8958/298

Given fractions are 8279/60,8958/298

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 8279,8958

Greatest Common Factor of Numerators i.e. GCF of 8279,8958 is 1 .

LCM of Denominators means LCM of 60,298 as per the given fractions.

LCM of 60,298 is 8940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8279,8958

GCF of Fractions 8279/60,8958/298 is 1/8940

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8279,8958 By Matching Biggest Common Factor Method

Greatest Common Factor of 8279,8958 By Matching Biggest Common Factor Method

Factors of 8279

List of positive integer factors of 8279 that divides 8279 without a remainder.

1,17,487,8279

Factors of 8958

List of positive integer factors of 8958 that divides 8958 without a remainder.

1,2,3,6,1493,2986,4479,8958

Greatest Common Factor

We found the factors 8279,8958 . The biggest common factor number is the GCF number.
So the greatest common factor 8279,8958 is 1.

Lets's calculate LCM of 60,298

2 60, 298
30, 149

∴ So the LCM of the given numbers is 2 x 30 x 149 = 8940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8940

Therefore, the GCF of Fractions 8279/60,8958/298 is 1/8940

Least Common Multiple of 60,298 with GCF Formula

Least Common Multiple of 60,298 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 60,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,298) = 2

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

GCF(60,298) x common factors =2 x 1 = 2

LCM(60,298) = ( 60 × 298 ) / 2

LCM(60,298) = 17880 / 2

LCM(60,298) = 8940


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 8279/60, 8958/298

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 8279/60, 8958/298?

Answer: GCF of Numerators as per given numbers 8279/60, 8958/298 is

GCF of Numerators i.e. for 8279,8958 is 1

LCM of denominators i.e. for 60,298 is 8940.

Thus, GCF of Fractions is 1/8940.Finally, GCF of Fractions for 8279/60, 8958/298 is 1/8940.