Greatest Common Factor of 6132/92, 3627/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6132/92, 3627/942

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 6132/92,3627/942

Given fractions are 6132/92,3627/942

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 6132,3627

Greatest Common Factor of Numerators i.e. GCF of 6132,3627 is 3 .

LCM of Denominators means LCM of 92,942 as per the given fractions.

LCM of 92,942 is 43332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6132,3627

GCF of Fractions 6132/92,3627/942 is 3/43332

3 6132, 3627
2044, 1209

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6132,3627 By Matching Biggest Common Factor Method

Greatest Common Factor of 6132,3627 By Matching Biggest Common Factor Method

Factors of 6132

List of positive integer factors of 6132 that divides 6132 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132

Factors of 3627

List of positive integer factors of 3627 that divides 3627 without a remainder.

1,3,9,13,31,39,93,117,279,403,1209,3627

Greatest Common Factor

We found the factors 6132,3627 . The biggest common factor number is the GCF number.
So the greatest common factor 6132,3627 is 3.

Lets's calculate LCM of 92,942

2 92, 942
46, 471

∴ So the LCM of the given numbers is 2 x 46 x 471 = 43332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43332

Therefore, the GCF of Fractions 6132/92,3627/942 is 3/43332

Least Common Multiple of 92,942 with GCF Formula

Least Common Multiple of 92,942 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 92,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,942) = 2

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

GCF(92,942) x common factors =2 x 1 = 2

LCM(92,942) = ( 92 × 942 ) / 2

LCM(92,942) = 86664 / 2

LCM(92,942) = 43332


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 6132/92, 3627/942

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 6132/92, 3627/942?

Answer: GCF of Numerators as per given numbers 6132/92, 3627/942 is

GCF of Numerators i.e. for 6132,3627 is 3

LCM of denominators i.e. for 92,942 is 43332.

Thus, GCF of Fractions is 3/43332.Finally, GCF of Fractions for 6132/92, 3627/942 is 3/43332.