Greatest Common Factor of 5138/671, 1794/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5138/671, 1794/122

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 5138/671,1794/122

Given fractions are 5138/671,1794/122

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 5138,1794

Greatest Common Factor of Numerators i.e. GCF of 5138,1794 is 2 .

LCM of Denominators means LCM of 671,122 as per the given fractions.

LCM of 671,122 is 1342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5138,1794

GCF of Fractions 5138/671,1794/122 is 2/1342

2 5138, 1794
2569, 897

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

Greatest Common Factor of 5138,1794 By Matching Biggest Common Factor Method

Greatest Common Factor of 5138,1794 By Matching Biggest Common Factor Method

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1,2,7,14,367,734,2569,5138

Factors of 1794

List of positive integer factors of 1794 that divides 1794 without a remainder.

1,2,3,6,13,23,26,39,46,69,78,138,299,598,897,1794

Greatest Common Factor

We found the factors 5138,1794 . The biggest common factor number is the GCF number.
So the greatest common factor 5138,1794 is 2.

Lets's calculate LCM of 671,122

61 671, 122
11, 2

∴ So the LCM of the given numbers is 61 x 11 x 2 = 1342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1342

Therefore, the GCF of Fractions 5138/671,1794/122 is 2/1342

Least Common Multiple of 671,122 with GCF Formula

Least Common Multiple of 671,122 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 671,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,122) = 61

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

GCF(671,122) x common factors =61 x 1 = 61

LCM(671,122) = ( 671 × 122 ) / 61

LCM(671,122) = 81862 / 61

LCM(671,122) = 1342


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 5138/671, 1794/122

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 5138/671, 1794/122?

Answer: GCF of Numerators as per given numbers 5138/671, 1794/122 is

GCF of Numerators i.e. for 5138,1794 is 2

LCM of denominators i.e. for 671,122 is 1342.

Thus, GCF of Fractions is 2/1342.Finally, GCF of Fractions for 5138/671, 1794/122 is 2/1342.