Greatest Common Factor of 123/215, 4860/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 123/215, 4860/918

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 123/215,4860/918

Given fractions are 123/215,4860/918

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 123,4860

Greatest Common Factor of Numerators i.e. GCF of 123,4860 is 3 .

LCM of Denominators means LCM of 215,918 as per the given fractions.

LCM of 215,918 is 197370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 123,4860

GCF of Fractions 123/215,4860/918 is 3/197370

3 123, 4860
41, 1620

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 123,4860 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,4860 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 4860

List of positive integer factors of 4860 that divides 4860 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,243,270,324,405,486,540,810,972,1215,1620,2430,4860

Greatest Common Factor

We found the factors 123,4860 . The biggest common factor number is the GCF number.
So the greatest common factor 123,4860 is 3.

Lets's calculate LCM of 215,918

Given numbers has no common factors except 1. So, there LCM is their product i.e 197370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/197370

Therefore, the GCF of Fractions 123/215,4860/918 is 3/197370

Least Common Multiple of 215,918 with GCF Formula

Least Common Multiple of 215,918 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 215,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,918) = 1

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

GCF(215,918) x common factors =1 x 1 = 1

LCM(215,918) = ( 215 × 918 ) / 1

LCM(215,918) = 197370 / 1

LCM(215,918) = 197370


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 123/215, 4860/918

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 123/215, 4860/918?

Answer: GCF of Numerators as per given numbers 123/215, 4860/918 is

GCF of Numerators i.e. for 123,4860 is 3

LCM of denominators i.e. for 215,918 is 197370.

Thus, GCF of Fractions is 3/197370.Finally, GCF of Fractions for 123/215, 4860/918 is 3/197370.