Greatest Common Factor of 958/312, 4285/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 958/312, 4285/138

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 958/312,4285/138

Given fractions are 958/312,4285/138

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 958,4285

Greatest Common Factor of Numerators i.e. GCF of 958,4285 is 1 .

LCM of Denominators means LCM of 312,138 as per the given fractions.

LCM of 312,138 is 7176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 958,4285

GCF of Fractions 958/312,4285/138 is 1/7176

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

Greatest Common Factor of 958,4285 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,4285 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 4285

List of positive integer factors of 4285 that divides 4285 without a remainder.

1,5,857,4285

Greatest Common Factor

We found the factors 958,4285 . The biggest common factor number is the GCF number.
So the greatest common factor 958,4285 is 1.

Lets's calculate LCM of 312,138

2 312, 138
3 156, 69
52, 23

∴ So the LCM of the given numbers is 2 x 3 x 52 x 23 = 7176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7176

Therefore, the GCF of Fractions 958/312,4285/138 is 1/7176

Least Common Multiple of 312,138 with GCF Formula

Least Common Multiple of 312,138 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 312,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,138) = 6

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

GCF(312,138) x common factors =6 x 1 = 6

LCM(312,138) = ( 312 × 138 ) / 6

LCM(312,138) = 43056 / 6

LCM(312,138) = 7176


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 958/312, 4285/138

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 958/312, 4285/138?

Answer: GCF of Numerators as per given numbers 958/312, 4285/138 is

GCF of Numerators i.e. for 958,4285 is 1

LCM of denominators i.e. for 312,138 is 7176.

Thus, GCF of Fractions is 1/7176.Finally, GCF of Fractions for 958/312, 4285/138 is 1/7176.