Greatest Common Factor of 510/123, 9138/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 510/123, 9138/212

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 510/123,9138/212

Given fractions are 510/123,9138/212

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 510,9138

Greatest Common Factor of Numerators i.e. GCF of 510,9138 is 6 .

LCM of Denominators means LCM of 123,212 as per the given fractions.

LCM of 123,212 is 26076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 510,9138

GCF of Fractions 510/123,9138/212 is 6/26076

2 510, 9138
3 255, 4569
85, 1523

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 510,9138 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,9138 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1,2,3,6,1523,3046,4569,9138

Greatest Common Factor

We found the factors 510,9138 . The biggest common factor number is the GCF number.
So the greatest common factor 510,9138 is 6.

Lets's calculate LCM of 123,212

Given numbers has no common factors except 1. So, there LCM is their product i.e 26076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/26076

Therefore, the GCF of Fractions 510/123,9138/212 is 6/26076

Least Common Multiple of 123,212 with GCF Formula

Least Common Multiple of 123,212 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 123,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,212) = 1

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

GCF(123,212) x common factors =1 x 1 = 1

LCM(123,212) = ( 123 × 212 ) / 1

LCM(123,212) = 26076 / 1

LCM(123,212) = 26076


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 510/123, 9138/212

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 510/123, 9138/212?

Answer: GCF of Numerators as per given numbers 510/123, 9138/212 is

GCF of Numerators i.e. for 510,9138 is 6

LCM of denominators i.e. for 123,212 is 26076.

Thus, GCF of Fractions is 6/26076.Finally, GCF of Fractions for 510/123, 9138/212 is 6/26076.