Greatest Common Factor of 5242/17, 5566/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5242/17, 5566/582

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 5242/17,5566/582

Given fractions are 5242/17,5566/582

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 5242,5566

Greatest Common Factor of Numerators i.e. GCF of 5242,5566 is 2 .

LCM of Denominators means LCM of 17,582 as per the given fractions.

LCM of 17,582 is 9894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5242,5566

GCF of Fractions 5242/17,5566/582 is 2/9894

2 5242, 5566
2621, 2783

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5242,5566 By Matching Biggest Common Factor Method

Greatest Common Factor of 5242,5566 By Matching Biggest Common Factor Method

Factors of 5242

List of positive integer factors of 5242 that divides 5242 without a remainder.

1,2,2621,5242

Factors of 5566

List of positive integer factors of 5566 that divides 5566 without a remainder.

1,2,11,22,23,46,121,242,253,506,2783,5566

Greatest Common Factor

We found the factors 5242,5566 . The biggest common factor number is the GCF number.
So the greatest common factor 5242,5566 is 2.

Lets's calculate LCM of 17,582

Given numbers has no common factors except 1. So, there LCM is their product i.e 9894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9894

Therefore, the GCF of Fractions 5242/17,5566/582 is 2/9894

Least Common Multiple of 17,582 with GCF Formula

Least Common Multiple of 17,582 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 17,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,582) = 1

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

GCF(17,582) x common factors =1 x 1 = 1

LCM(17,582) = ( 17 × 582 ) / 1

LCM(17,582) = 9894 / 1

LCM(17,582) = 9894


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 5242/17, 5566/582

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 5242/17, 5566/582?

Answer: GCF of Numerators as per given numbers 5242/17, 5566/582 is

GCF of Numerators i.e. for 5242,5566 is 2

LCM of denominators i.e. for 17,582 is 9894.

Thus, GCF of Fractions is 2/9894.Finally, GCF of Fractions for 5242/17, 5566/582 is 2/9894.