Greatest Common Factor of 5290/54, 6559/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5290/54, 6559/550

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 5290/54,6559/550

Given fractions are 5290/54,6559/550

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 5290,6559

Greatest Common Factor of Numerators i.e. GCF of 5290,6559 is 1 .

LCM of Denominators means LCM of 54,550 as per the given fractions.

LCM of 54,550 is 14850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5290,6559

GCF of Fractions 5290/54,6559/550 is 1/14850

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

Greatest Common Factor of 5290,6559 By Matching Biggest Common Factor Method

Greatest Common Factor of 5290,6559 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 6559

List of positive integer factors of 6559 that divides 6559 without a remainder.

1,7,937,6559

Greatest Common Factor

We found the factors 5290,6559 . The biggest common factor number is the GCF number.
So the greatest common factor 5290,6559 is 1.

Lets's calculate LCM of 54,550

2 54, 550
27, 275

∴ So the LCM of the given numbers is 2 x 27 x 275 = 14850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14850

Therefore, the GCF of Fractions 5290/54,6559/550 is 1/14850

Least Common Multiple of 54,550 with GCF Formula

Least Common Multiple of 54,550 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 54,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,550) = 2

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

GCF(54,550) x common factors =2 x 1 = 2

LCM(54,550) = ( 54 × 550 ) / 2

LCM(54,550) = 29700 / 2

LCM(54,550) = 14850


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 5290/54, 6559/550

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 5290/54, 6559/550?

Answer: GCF of Numerators as per given numbers 5290/54, 6559/550 is

GCF of Numerators i.e. for 5290,6559 is 1

LCM of denominators i.e. for 54,550 is 14850.

Thus, GCF of Fractions is 1/14850.Finally, GCF of Fractions for 5290/54, 6559/550 is 1/14850.