Greatest Common Factor of 5290/668, 2251/5182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5290/668, 2251/5182

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 5290/668,2251/5182

Given fractions are 5290/668,2251/5182

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 5290,2251

Greatest Common Factor of Numerators i.e. GCF of 5290,2251 is 1 .

LCM of Denominators means LCM of 668,5182 as per the given fractions.

LCM of 668,5182 is 1730788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5290,2251

GCF of Fractions 5290/668,2251/5182 is 1/1730788

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

Greatest Common Factor of 5290,2251 By Matching Biggest Common Factor Method

Greatest Common Factor of 5290,2251 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 2251

List of positive integer factors of 2251 that divides 2251 without a remainder.

1,2251

Greatest Common Factor

We found the factors 5290,2251 . The biggest common factor number is the GCF number.
So the greatest common factor 5290,2251 is 1.

Lets's calculate LCM of 668,5182

2 668, 5182
334, 2591

∴ So the LCM of the given numbers is 2 x 334 x 2591 = 1730788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1730788

Therefore, the GCF of Fractions 5290/668,2251/5182 is 1/1730788

Least Common Multiple of 668,5182 with GCF Formula

Least Common Multiple of 668,5182 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 668,5182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,5182) = 2

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

GCF(668,5182) x common factors =2 x 1 = 2

LCM(668,5182) = ( 668 × 5182 ) / 2

LCM(668,5182) = 3461576 / 2

LCM(668,5182) = 1730788


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 5290/668, 2251/5182

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 5290/668, 2251/5182?

Answer: GCF of Numerators as per given numbers 5290/668, 2251/5182 is

GCF of Numerators i.e. for 5290,2251 is 1

LCM of denominators i.e. for 668,5182 is 1730788.

Thus, GCF of Fractions is 1/1730788.Finally, GCF of Fractions for 5290/668, 2251/5182 is 1/1730788.