Greatest Common Factor of 5290/51, 6859/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5290/51, 6859/586

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 5290/51,6859/586

Given fractions are 5290/51,6859/586

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 5290,6859

Greatest Common Factor of Numerators i.e. GCF of 5290,6859 is 1 .

LCM of Denominators means LCM of 51,586 as per the given fractions.

LCM of 51,586 is 29886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5290,6859

GCF of Fractions 5290/51,6859/586 is 1/29886

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

Greatest Common Factor of 5290,6859 By Matching Biggest Common Factor Method

Greatest Common Factor of 5290,6859 By Matching Biggest Common Factor Method

Factors of 5290

List of positive integer factors of 5290 that divides 5290 without a remainder.

1,2,5,10,23,46,115,230,529,1058,2645,5290

Factors of 6859

List of positive integer factors of 6859 that divides 6859 without a remainder.

1,19,361,6859

Greatest Common Factor

We found the factors 5290,6859 . The biggest common factor number is the GCF number.
So the greatest common factor 5290,6859 is 1.

Lets's calculate LCM of 51,586

Given numbers has no common factors except 1. So, there LCM is their product i.e 29886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29886

Therefore, the GCF of Fractions 5290/51,6859/586 is 1/29886

Least Common Multiple of 51,586 with GCF Formula

Least Common Multiple of 51,586 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 51,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,586) = 1

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

GCF(51,586) x common factors =1 x 1 = 1

LCM(51,586) = ( 51 × 586 ) / 1

LCM(51,586) = 29886 / 1

LCM(51,586) = 29886


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 5290/51, 6859/586

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 5290/51, 6859/586?

Answer: GCF of Numerators as per given numbers 5290/51, 6859/586 is

GCF of Numerators i.e. for 5290,6859 is 1

LCM of denominators i.e. for 51,586 is 29886.

Thus, GCF of Fractions is 1/29886.Finally, GCF of Fractions for 5290/51, 6859/586 is 1/29886.