Greatest Common Factor of 5513/109, 5867/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5513/109, 5867/686

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 5513/109,5867/686

Given fractions are 5513/109,5867/686

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 5513,5867

Greatest Common Factor of Numerators i.e. GCF of 5513,5867 is 1 .

LCM of Denominators means LCM of 109,686 as per the given fractions.

LCM of 109,686 is 74774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5513,5867

GCF of Fractions 5513/109,5867/686 is 1/74774

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

Greatest Common Factor of 5513,5867 By Matching Biggest Common Factor Method

Greatest Common Factor of 5513,5867 By Matching Biggest Common Factor Method

Factors of 5513

List of positive integer factors of 5513 that divides 5513 without a remainder.

1,37,149,5513

Factors of 5867

List of positive integer factors of 5867 that divides 5867 without a remainder.

1,5867

Greatest Common Factor

We found the factors 5513,5867 . The biggest common factor number is the GCF number.
So the greatest common factor 5513,5867 is 1.

Lets's calculate LCM of 109,686

Given numbers has no common factors except 1. So, there LCM is their product i.e 74774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74774

Therefore, the GCF of Fractions 5513/109,5867/686 is 1/74774

Least Common Multiple of 109,686 with GCF Formula

Least Common Multiple of 109,686 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 109,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,686) = 1

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

GCF(109,686) x common factors =1 x 1 = 1

LCM(109,686) = ( 109 × 686 ) / 1

LCM(109,686) = 74774 / 1

LCM(109,686) = 74774


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 5513/109, 5867/686

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 5513/109, 5867/686?

Answer: GCF of Numerators as per given numbers 5513/109, 5867/686 is

GCF of Numerators i.e. for 5513,5867 is 1

LCM of denominators i.e. for 109,686 is 74774.

Thus, GCF of Fractions is 1/74774.Finally, GCF of Fractions for 5513/109, 5867/686 is 1/74774.