Greatest Common Factor of 6108/86, 1722/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6108/86, 1722/134

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 6108/86,1722/134

Given fractions are 6108/86,1722/134

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 6108,1722

Greatest Common Factor of Numerators i.e. GCF of 6108,1722 is 6 .

LCM of Denominators means LCM of 86,134 as per the given fractions.

LCM of 86,134 is 5762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6108,1722

GCF of Fractions 6108/86,1722/134 is 6/5762

2 6108, 1722
3 3054, 861
1018, 287

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

Greatest Common Factor of 6108,1722 By Matching Biggest Common Factor Method

Greatest Common Factor of 6108,1722 By Matching Biggest Common Factor Method

Factors of 6108

List of positive integer factors of 6108 that divides 6108 without a remainder.

1,2,3,4,6,12,509,1018,1527,2036,3054,6108

Factors of 1722

List of positive integer factors of 1722 that divides 1722 without a remainder.

1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722

Greatest Common Factor

We found the factors 6108,1722 . The biggest common factor number is the GCF number.
So the greatest common factor 6108,1722 is 6.

Lets's calculate LCM of 86,134

2 86, 134
43, 67

∴ So the LCM of the given numbers is 2 x 43 x 67 = 5762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5762

Therefore, the GCF of Fractions 6108/86,1722/134 is 6/5762

Least Common Multiple of 86,134 with GCF Formula

Least Common Multiple of 86,134 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 86,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,134) = 2

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

GCF(86,134) x common factors =2 x 1 = 2

LCM(86,134) = ( 86 × 134 ) / 2

LCM(86,134) = 11524 / 2

LCM(86,134) = 5762


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 6108/86, 1722/134

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 6108/86, 1722/134?

Answer: GCF of Numerators as per given numbers 6108/86, 1722/134 is

GCF of Numerators i.e. for 6108,1722 is 6

LCM of denominators i.e. for 86,134 is 5762.

Thus, GCF of Fractions is 6/5762.Finally, GCF of Fractions for 6108/86, 1722/134 is 6/5762.