Greatest Common Factor of 3063/654, 5134/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3063/654, 5134/918

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 3063/654,5134/918

Given fractions are 3063/654,5134/918

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 3063,5134

Greatest Common Factor of Numerators i.e. GCF of 3063,5134 is 1 .

LCM of Denominators means LCM of 654,918 as per the given fractions.

LCM of 654,918 is 100062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3063,5134

GCF of Fractions 3063/654,5134/918 is 1/100062

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

Greatest Common Factor of 3063,5134 By Matching Biggest Common Factor Method

Greatest Common Factor of 3063,5134 By Matching Biggest Common Factor Method

Factors of 3063

List of positive integer factors of 3063 that divides 3063 without a remainder.

1,3,1021,3063

Factors of 5134

List of positive integer factors of 5134 that divides 5134 without a remainder.

1,2,17,34,151,302,2567,5134

Greatest Common Factor

We found the factors 3063,5134 . The biggest common factor number is the GCF number.
So the greatest common factor 3063,5134 is 1.

Lets's calculate LCM of 654,918

2 654, 918
3 327, 459
109, 153

∴ So the LCM of the given numbers is 2 x 3 x 109 x 153 = 100062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100062

Therefore, the GCF of Fractions 3063/654,5134/918 is 1/100062

Least Common Multiple of 654,918 with GCF Formula

Least Common Multiple of 654,918 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 654,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,918) = 6

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

GCF(654,918) x common factors =6 x 1 = 6

LCM(654,918) = ( 654 × 918 ) / 6

LCM(654,918) = 600372 / 6

LCM(654,918) = 100062


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 3063/654, 5134/918

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 3063/654, 5134/918?

Answer: GCF of Numerators as per given numbers 3063/654, 5134/918 is

GCF of Numerators i.e. for 3063,5134 is 1

LCM of denominators i.e. for 654,918 is 100062.

Thus, GCF of Fractions is 1/100062.Finally, GCF of Fractions for 3063/654, 5134/918 is 1/100062.