Greatest Common Factor of 6106/72, 1944/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6106/72, 1944/426

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 6106/72,1944/426

Given fractions are 6106/72,1944/426

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 6106,1944

Greatest Common Factor of Numerators i.e. GCF of 6106,1944 is 2 .

LCM of Denominators means LCM of 72,426 as per the given fractions.

LCM of 72,426 is 5112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6106,1944

GCF of Fractions 6106/72,1944/426 is 2/5112

2 6106, 1944
3053, 972

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

Greatest Common Factor of 6106,1944 By Matching Biggest Common Factor Method

Greatest Common Factor of 6106,1944 By Matching Biggest Common Factor Method

Factors of 6106

List of positive integer factors of 6106 that divides 6106 without a remainder.

1,2,43,71,86,142,3053,6106

Factors of 1944

List of positive integer factors of 1944 that divides 1944 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,972,1944

Greatest Common Factor

We found the factors 6106,1944 . The biggest common factor number is the GCF number.
So the greatest common factor 6106,1944 is 2.

Lets's calculate LCM of 72,426

2 72, 426
3 36, 213
12, 71

∴ So the LCM of the given numbers is 2 x 3 x 12 x 71 = 5112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5112

Therefore, the GCF of Fractions 6106/72,1944/426 is 2/5112

Least Common Multiple of 72,426 with GCF Formula

Least Common Multiple of 72,426 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 72,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,426) = 6

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

GCF(72,426) x common factors =6 x 1 = 6

LCM(72,426) = ( 72 × 426 ) / 6

LCM(72,426) = 30672 / 6

LCM(72,426) = 5112


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 6106/72, 1944/426

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 6106/72, 1944/426?

Answer: GCF of Numerators as per given numbers 6106/72, 1944/426 is

GCF of Numerators i.e. for 6106,1944 is 2

LCM of denominators i.e. for 72,426 is 5112.

Thus, GCF of Fractions is 2/5112.Finally, GCF of Fractions for 6106/72, 1944/426 is 2/5112.