Greatest Common Factor of 5169/273, 2807/5816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5169/273, 2807/5816

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 5169/273,2807/5816

Given fractions are 5169/273,2807/5816

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 5169,2807

Greatest Common Factor of Numerators i.e. GCF of 5169,2807 is 1 .

LCM of Denominators means LCM of 273,5816 as per the given fractions.

LCM of 273,5816 is 1587768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5169,2807

GCF of Fractions 5169/273,2807/5816 is 1/1587768

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

Greatest Common Factor of 5169,2807 By Matching Biggest Common Factor Method

Greatest Common Factor of 5169,2807 By Matching Biggest Common Factor Method

Factors of 5169

List of positive integer factors of 5169 that divides 5169 without a remainder.

1,3,1723,5169

Factors of 2807

List of positive integer factors of 2807 that divides 2807 without a remainder.

1,7,401,2807

Greatest Common Factor

We found the factors 5169,2807 . The biggest common factor number is the GCF number.
So the greatest common factor 5169,2807 is 1.

Lets's calculate LCM of 273,5816

Given numbers has no common factors except 1. So, there LCM is their product i.e 1587768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1587768

Therefore, the GCF of Fractions 5169/273,2807/5816 is 1/1587768

Least Common Multiple of 273,5816 with GCF Formula

Least Common Multiple of 273,5816 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 273,5816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,5816) = 1

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

GCF(273,5816) x common factors =1 x 1 = 1

LCM(273,5816) = ( 273 × 5816 ) / 1

LCM(273,5816) = 1587768 / 1

LCM(273,5816) = 1587768


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 5169/273, 2807/5816

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 5169/273, 2807/5816?

Answer: GCF of Numerators as per given numbers 5169/273, 2807/5816 is

GCF of Numerators i.e. for 5169,2807 is 1

LCM of denominators i.e. for 273,5816 is 1587768.

Thus, GCF of Fractions is 1/1587768.Finally, GCF of Fractions for 5169/273, 2807/5816 is 1/1587768.