Greatest Common Factor of 1742/21, 7930/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1742/21, 7930/189

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 1742/21,7930/189

Given fractions are 1742/21,7930/189

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 1742,7930

Greatest Common Factor of Numerators i.e. GCF of 1742,7930 is 26 .

LCM of Denominators means LCM of 21,189 as per the given fractions.

LCM of 21,189 is 189 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1742,7930

GCF of Fractions 1742/21,7930/189 is 26/189

2 1742, 7930
13 871, 3965
67, 305

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 1742,7930 By Matching Biggest Common Factor Method

Greatest Common Factor of 1742,7930 By Matching Biggest Common Factor Method

Factors of 1742

List of positive integer factors of 1742 that divides 1742 without a remainder.

1,2,13,26,67,134,871,1742

Factors of 7930

List of positive integer factors of 7930 that divides 7930 without a remainder.

1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930

Greatest Common Factor

We found the factors 1742,7930 . The biggest common factor number is the GCF number.
So the greatest common factor 1742,7930 is 26.

Lets's calculate LCM of 21,189

3 21, 189
7 7, 63
1, 9

∴ So the LCM of the given numbers is 3 x 7 x 1 x 9 = 189

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/189

Therefore, the GCF of Fractions 1742/21,7930/189 is 26/189

Least Common Multiple of 21,189 with GCF Formula

Least Common Multiple of 21,189 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 21,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,189) = 21

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

GCF(21,189) x common factors =21 x 1 = 21

LCM(21,189) = ( 21 × 189 ) / 21

LCM(21,189) = 3969 / 21

LCM(21,189) = 189


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 1742/21, 7930/189

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 1742/21, 7930/189?

Answer: GCF of Numerators as per given numbers 1742/21, 7930/189 is

GCF of Numerators i.e. for 1742,7930 is 26

LCM of denominators i.e. for 21,189 is 189.

Thus, GCF of Fractions is 26/189.Finally, GCF of Fractions for 1742/21, 7930/189 is 26/189.