Greatest Common Factor of 1524/958, 8134/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1524/958, 8134/183

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 1524/958,8134/183

Given fractions are 1524/958,8134/183

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 1524,8134

Greatest Common Factor of Numerators i.e. GCF of 1524,8134 is 2 .

LCM of Denominators means LCM of 958,183 as per the given fractions.

LCM of 958,183 is 175314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1524,8134

GCF of Fractions 1524/958,8134/183 is 2/175314

2 1524, 8134
762, 4067

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1524,8134 By Matching Biggest Common Factor Method

Greatest Common Factor of 1524,8134 By Matching Biggest Common Factor Method

Factors of 1524

List of positive integer factors of 1524 that divides 1524 without a remainder.

1,2,3,4,6,12,127,254,381,508,762,1524

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Greatest Common Factor

We found the factors 1524,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 1524,8134 is 2.

Lets's calculate LCM of 958,183

Given numbers has no common factors except 1. So, there LCM is their product i.e 175314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175314

Therefore, the GCF of Fractions 1524/958,8134/183 is 2/175314

Least Common Multiple of 958,183 with GCF Formula

Least Common Multiple of 958,183 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 958,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,183) = 1

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

GCF(958,183) x common factors =1 x 1 = 1

LCM(958,183) = ( 958 × 183 ) / 1

LCM(958,183) = 175314 / 1

LCM(958,183) = 175314


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 1524/958, 8134/183

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 1524/958, 8134/183?

Answer: GCF of Numerators as per given numbers 1524/958, 8134/183 is

GCF of Numerators i.e. for 1524,8134 is 2

LCM of denominators i.e. for 958,183 is 175314.

Thus, GCF of Fractions is 2/175314.Finally, GCF of Fractions for 1524/958, 8134/183 is 2/175314.