Greatest Common Factor of 6162/538, 3772/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6162/538, 3772/430

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 6162/538,3772/430

Given fractions are 6162/538,3772/430

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 6162,3772

Greatest Common Factor of Numerators i.e. GCF of 6162,3772 is 2 .

LCM of Denominators means LCM of 538,430 as per the given fractions.

LCM of 538,430 is 115670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6162,3772

GCF of Fractions 6162/538,3772/430 is 2/115670

2 6162, 3772
3081, 1886

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

Greatest Common Factor of 6162,3772 By Matching Biggest Common Factor Method

Greatest Common Factor of 6162,3772 By Matching Biggest Common Factor Method

Factors of 6162

List of positive integer factors of 6162 that divides 6162 without a remainder.

1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1,2,4,23,41,46,82,92,164,943,1886,3772

Greatest Common Factor

We found the factors 6162,3772 . The biggest common factor number is the GCF number.
So the greatest common factor 6162,3772 is 2.

Lets's calculate LCM of 538,430

2 538, 430
269, 215

∴ So the LCM of the given numbers is 2 x 269 x 215 = 115670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115670

Therefore, the GCF of Fractions 6162/538,3772/430 is 2/115670

Least Common Multiple of 538,430 with GCF Formula

Least Common Multiple of 538,430 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 538,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,430) = 2

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

GCF(538,430) x common factors =2 x 1 = 2

LCM(538,430) = ( 538 × 430 ) / 2

LCM(538,430) = 231340 / 2

LCM(538,430) = 115670


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 6162/538, 3772/430

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 6162/538, 3772/430?

Answer: GCF of Numerators as per given numbers 6162/538, 3772/430 is

GCF of Numerators i.e. for 6162,3772 is 2

LCM of denominators i.e. for 538,430 is 115670.

Thus, GCF of Fractions is 2/115670.Finally, GCF of Fractions for 6162/538, 3772/430 is 2/115670.