Greatest Common Factor of 958/28, 7147/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 958/28, 7147/744

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 958/28,7147/744

Given fractions are 958/28,7147/744

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 958,7147

Greatest Common Factor of Numerators i.e. GCF of 958,7147 is 1 .

LCM of Denominators means LCM of 28,744 as per the given fractions.

LCM of 28,744 is 5208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 958,7147

GCF of Fractions 958/28,7147/744 is 1/5208

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

Greatest Common Factor of 958,7147 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,7147 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 7147

List of positive integer factors of 7147 that divides 7147 without a remainder.

1,7,1021,7147

Greatest Common Factor

We found the factors 958,7147 . The biggest common factor number is the GCF number.
So the greatest common factor 958,7147 is 1.

Lets's calculate LCM of 28,744

2 28, 744
2 14, 372
7, 186

∴ So the LCM of the given numbers is 2 x 2 x 7 x 186 = 5208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5208

Therefore, the GCF of Fractions 958/28,7147/744 is 1/5208

Least Common Multiple of 28,744 with GCF Formula

Least Common Multiple of 28,744 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 28,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,744) = 4

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

GCF(28,744) x common factors =4 x 1 = 4

LCM(28,744) = ( 28 × 744 ) / 4

LCM(28,744) = 20832 / 4

LCM(28,744) = 5208


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 958/28, 7147/744

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 958/28, 7147/744?

Answer: GCF of Numerators as per given numbers 958/28, 7147/744 is

GCF of Numerators i.e. for 958,7147 is 1

LCM of denominators i.e. for 28,744 is 5208.

Thus, GCF of Fractions is 1/5208.Finally, GCF of Fractions for 958/28, 7147/744 is 1/5208.