Greatest Common Factor of 5319/561, 2737/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5319/561, 2737/278

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 5319/561,2737/278

Given fractions are 5319/561,2737/278

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 5319,2737

Greatest Common Factor of Numerators i.e. GCF of 5319,2737 is 1 .

LCM of Denominators means LCM of 561,278 as per the given fractions.

LCM of 561,278 is 155958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5319,2737

GCF of Fractions 5319/561,2737/278 is 1/155958

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

Greatest Common Factor of 5319,2737 By Matching Biggest Common Factor Method

Greatest Common Factor of 5319,2737 By Matching Biggest Common Factor Method

Factors of 5319

List of positive integer factors of 5319 that divides 5319 without a remainder.

1,3,9,27,197,591,1773,5319

Factors of 2737

List of positive integer factors of 2737 that divides 2737 without a remainder.

1,7,17,23,119,161,391,2737

Greatest Common Factor

We found the factors 5319,2737 . The biggest common factor number is the GCF number.
So the greatest common factor 5319,2737 is 1.

Lets's calculate LCM of 561,278

Given numbers has no common factors except 1. So, there LCM is their product i.e 155958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155958

Therefore, the GCF of Fractions 5319/561,2737/278 is 1/155958

Least Common Multiple of 561,278 with GCF Formula

Least Common Multiple of 561,278 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 561,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,278) = 1

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

GCF(561,278) x common factors =1 x 1 = 1

LCM(561,278) = ( 561 × 278 ) / 1

LCM(561,278) = 155958 / 1

LCM(561,278) = 155958


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 5319/561, 2737/278

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 5319/561, 2737/278?

Answer: GCF of Numerators as per given numbers 5319/561, 2737/278 is

GCF of Numerators i.e. for 5319,2737 is 1

LCM of denominators i.e. for 561,278 is 155958.

Thus, GCF of Fractions is 1/155958.Finally, GCF of Fractions for 5319/561, 2737/278 is 1/155958.