Greatest Common Factor of 138/54, 692/1884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 138/54, 692/1884

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 138/54,692/1884

Given fractions are 138/54,692/1884

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 138,692

Greatest Common Factor of Numerators i.e. GCF of 138,692 is 2 .

LCM of Denominators means LCM of 54,1884 as per the given fractions.

LCM of 54,1884 is 16956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,692

GCF of Fractions 138/54,692/1884 is 2/16956

2 138, 692
69, 346

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

Greatest Common Factor of 138,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,692 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 138,692 . The biggest common factor number is the GCF number.
So the greatest common factor 138,692 is 2.

Lets's calculate LCM of 54,1884

2 54, 1884
3 27, 942
9, 314

∴ So the LCM of the given numbers is 2 x 3 x 9 x 314 = 16956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16956

Therefore, the GCF of Fractions 138/54,692/1884 is 2/16956

Least Common Multiple of 54,1884 with GCF Formula

Least Common Multiple of 54,1884 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 54,1884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,1884) = 6

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

GCF(54,1884) x common factors =6 x 1 = 6

LCM(54,1884) = ( 54 × 1884 ) / 6

LCM(54,1884) = 101736 / 6

LCM(54,1884) = 16956


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 138/54, 692/1884

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 138/54, 692/1884?

Answer: GCF of Numerators as per given numbers 138/54, 692/1884 is

GCF of Numerators i.e. for 138,692 is 2

LCM of denominators i.e. for 54,1884 is 16956.

Thus, GCF of Fractions is 2/16956.Finally, GCF of Fractions for 138/54, 692/1884 is 2/16956.