Greatest Common Factor of 1613/644, 2860/5852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1613/644, 2860/5852

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 1613/644,2860/5852

Given fractions are 1613/644,2860/5852

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 1613,2860

Greatest Common Factor of Numerators i.e. GCF of 1613,2860 is 1 .

LCM of Denominators means LCM of 644,5852 as per the given fractions.

LCM of 644,5852 is 134596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1613,2860

GCF of Fractions 1613/644,2860/5852 is 1/134596

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

Greatest Common Factor of 1613,2860 By Matching Biggest Common Factor Method

Greatest Common Factor of 1613,2860 By Matching Biggest Common Factor Method

Factors of 1613

List of positive integer factors of 1613 that divides 1613 without a remainder.

1,1613

Factors of 2860

List of positive integer factors of 2860 that divides 2860 without a remainder.

1,2,4,5,10,11,13,20,22,26,44,52,55,65,110,130,143,220,260,286,572,715,1430,2860

Greatest Common Factor

We found the factors 1613,2860 . The biggest common factor number is the GCF number.
So the greatest common factor 1613,2860 is 1.

Lets's calculate LCM of 644,5852

2 644, 5852
2 322, 2926
7 161, 1463
23, 209

∴ So the LCM of the given numbers is 2 x 2 x 7 x 23 x 209 = 134596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134596

Therefore, the GCF of Fractions 1613/644,2860/5852 is 1/134596

Least Common Multiple of 644,5852 with GCF Formula

Least Common Multiple of 644,5852 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 644,5852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,5852) = 28

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

GCF(644,5852) x common factors =28 x 1 = 28

LCM(644,5852) = ( 644 × 5852 ) / 28

LCM(644,5852) = 3768688 / 28

LCM(644,5852) = 134596


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 1613/644, 2860/5852

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 1613/644, 2860/5852?

Answer: GCF of Numerators as per given numbers 1613/644, 2860/5852 is

GCF of Numerators i.e. for 1613,2860 is 1

LCM of denominators i.e. for 644,5852 is 134596.

Thus, GCF of Fractions is 1/134596.Finally, GCF of Fractions for 1613/644, 2860/5852 is 1/134596.