Greatest Common Factor of 138/76, 545/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 138/76, 545/649

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 138/76,545/649

Given fractions are 138/76,545/649

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 138,545

Greatest Common Factor of Numerators i.e. GCF of 138,545 is 1 .

LCM of Denominators means LCM of 76,649 as per the given fractions.

LCM of 76,649 is 49324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,545

GCF of Fractions 138/76,545/649 is 1/49324

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 138,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,545 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 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 138,545 . The biggest common factor number is the GCF number.
So the greatest common factor 138,545 is 1.

Lets's calculate LCM of 76,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 49324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49324

Therefore, the GCF of Fractions 138/76,545/649 is 1/49324

Least Common Multiple of 76,649 with GCF Formula

Least Common Multiple of 76,649 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 76,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,649) = 1

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

GCF(76,649) x common factors =1 x 1 = 1

LCM(76,649) = ( 76 × 649 ) / 1

LCM(76,649) = 49324 / 1

LCM(76,649) = 49324


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 138/76, 545/649

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 138/76, 545/649?

Answer: GCF of Numerators as per given numbers 138/76, 545/649 is

GCF of Numerators i.e. for 138,545 is 1

LCM of denominators i.e. for 76,649 is 49324.

Thus, GCF of Fractions is 1/49324.Finally, GCF of Fractions for 138/76, 545/649 is 1/49324.