Greatest Common Factor of 4107/293, 1742/2521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4107/293, 1742/2521

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 4107/293,1742/2521

Given fractions are 4107/293,1742/2521

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 4107,1742

Greatest Common Factor of Numerators i.e. GCF of 4107,1742 is 1 .

LCM of Denominators means LCM of 293,2521 as per the given fractions.

LCM of 293,2521 is 738653 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4107,1742

GCF of Fractions 4107/293,1742/2521 is 1/738653

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

Greatest Common Factor of 4107,1742 By Matching Biggest Common Factor Method

Greatest Common Factor of 4107,1742 By Matching Biggest Common Factor Method

Factors of 4107

List of positive integer factors of 4107 that divides 4107 without a remainder.

1,3,37,111,1369,4107

Factors of 1742

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

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

Greatest Common Factor

We found the factors 4107,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 4107,1742 is 1.

Lets's calculate LCM of 293,2521

Given numbers has no common factors except 1. So, there LCM is their product i.e 738653

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/738653

Therefore, the GCF of Fractions 4107/293,1742/2521 is 1/738653

Least Common Multiple of 293,2521 with GCF Formula

Least Common Multiple of 293,2521 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 293,2521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,2521) = 1

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

GCF(293,2521) x common factors =1 x 1 = 1

LCM(293,2521) = ( 293 × 2521 ) / 1

LCM(293,2521) = 738653 / 1

LCM(293,2521) = 738653


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 4107/293, 1742/2521

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 4107/293, 1742/2521?

Answer: GCF of Numerators as per given numbers 4107/293, 1742/2521 is

GCF of Numerators i.e. for 4107,1742 is 1

LCM of denominators i.e. for 293,2521 is 738653.

Thus, GCF of Fractions is 1/738653.Finally, GCF of Fractions for 4107/293, 1742/2521 is 1/738653.