Greatest Common Factor of 2141/34, 6378/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2141/34, 6378/134

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 2141/34,6378/134

Given fractions are 2141/34,6378/134

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 2141,6378

Greatest Common Factor of Numerators i.e. GCF of 2141,6378 is 1 .

LCM of Denominators means LCM of 34,134 as per the given fractions.

LCM of 34,134 is 2278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2141,6378

GCF of Fractions 2141/34,6378/134 is 1/2278

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

Greatest Common Factor of 2141,6378 By Matching Biggest Common Factor Method

Greatest Common Factor of 2141,6378 By Matching Biggest Common Factor Method

Factors of 2141

List of positive integer factors of 2141 that divides 2141 without a remainder.

1,2141

Factors of 6378

List of positive integer factors of 6378 that divides 6378 without a remainder.

1,2,3,6,1063,2126,3189,6378

Greatest Common Factor

We found the factors 2141,6378 . The biggest common factor number is the GCF number.
So the greatest common factor 2141,6378 is 1.

Lets's calculate LCM of 34,134

2 34, 134
17, 67

∴ So the LCM of the given numbers is 2 x 17 x 67 = 2278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2278

Therefore, the GCF of Fractions 2141/34,6378/134 is 1/2278

Least Common Multiple of 34,134 with GCF Formula

Least Common Multiple of 34,134 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 34,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,134) = 2

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

GCF(34,134) x common factors =2 x 1 = 2

LCM(34,134) = ( 34 × 134 ) / 2

LCM(34,134) = 4556 / 2

LCM(34,134) = 2278


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 2141/34, 6378/134

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 2141/34, 6378/134?

Answer: GCF of Numerators as per given numbers 2141/34, 6378/134 is

GCF of Numerators i.e. for 2141,6378 is 1

LCM of denominators i.e. for 34,134 is 2278.

Thus, GCF of Fractions is 1/2278.Finally, GCF of Fractions for 2141/34, 6378/134 is 1/2278.