Greatest Common Factor of 6086/12, 5266/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6086/12, 5266/600

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 6086/12,5266/600

Given fractions are 6086/12,5266/600

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 6086,5266

Greatest Common Factor of Numerators i.e. GCF of 6086,5266 is 2 .

LCM of Denominators means LCM of 12,600 as per the given fractions.

LCM of 12,600 is 600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6086,5266

GCF of Fractions 6086/12,5266/600 is 2/600

2 6086, 5266
3043, 2633

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

Greatest Common Factor of 6086,5266 By Matching Biggest Common Factor Method

Greatest Common Factor of 6086,5266 By Matching Biggest Common Factor Method

Factors of 6086

List of positive integer factors of 6086 that divides 6086 without a remainder.

1,2,17,34,179,358,3043,6086

Factors of 5266

List of positive integer factors of 5266 that divides 5266 without a remainder.

1,2,2633,5266

Greatest Common Factor

We found the factors 6086,5266 . The biggest common factor number is the GCF number.
So the greatest common factor 6086,5266 is 2.

Lets's calculate LCM of 12,600

2 12, 600
2 6, 300
3 3, 150
1, 50

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 50 = 600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/600

Therefore, the GCF of Fractions 6086/12,5266/600 is 2/600

Least Common Multiple of 12,600 with GCF Formula

Least Common Multiple of 12,600 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 12,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,600) = 12

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

GCF(12,600) x common factors =12 x 1 = 12

LCM(12,600) = ( 12 × 600 ) / 12

LCM(12,600) = 7200 / 12

LCM(12,600) = 600


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 6086/12, 5266/600

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 6086/12, 5266/600?

Answer: GCF of Numerators as per given numbers 6086/12, 5266/600 is

GCF of Numerators i.e. for 6086,5266 is 2

LCM of denominators i.e. for 12,600 is 600.

Thus, GCF of Fractions is 2/600.Finally, GCF of Fractions for 6086/12, 5266/600 is 2/600.