Greatest Common Factor of 5619/277, 6693/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5619/277, 6693/837

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 5619/277,6693/837

Given fractions are 5619/277,6693/837

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 5619,6693

Greatest Common Factor of Numerators i.e. GCF of 5619,6693 is 3 .

LCM of Denominators means LCM of 277,837 as per the given fractions.

LCM of 277,837 is 231849 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5619,6693

GCF of Fractions 5619/277,6693/837 is 3/231849

3 5619, 6693
1873, 2231

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5619,6693 By Matching Biggest Common Factor Method

Greatest Common Factor of 5619,6693 By Matching Biggest Common Factor Method

Factors of 5619

List of positive integer factors of 5619 that divides 5619 without a remainder.

1,3,1873,5619

Factors of 6693

List of positive integer factors of 6693 that divides 6693 without a remainder.

1,3,23,69,97,291,2231,6693

Greatest Common Factor

We found the factors 5619,6693 . The biggest common factor number is the GCF number.
So the greatest common factor 5619,6693 is 3.

Lets's calculate LCM of 277,837

Given numbers has no common factors except 1. So, there LCM is their product i.e 231849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/231849

Therefore, the GCF of Fractions 5619/277,6693/837 is 3/231849

Least Common Multiple of 277,837 with GCF Formula

Least Common Multiple of 277,837 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 277,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,837) = 1

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

GCF(277,837) x common factors =1 x 1 = 1

LCM(277,837) = ( 277 × 837 ) / 1

LCM(277,837) = 231849 / 1

LCM(277,837) = 231849


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 5619/277, 6693/837

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 5619/277, 6693/837?

Answer: GCF of Numerators as per given numbers 5619/277, 6693/837 is

GCF of Numerators i.e. for 5619,6693 is 3

LCM of denominators i.e. for 277,837 is 231849.

Thus, GCF of Fractions is 3/231849.Finally, GCF of Fractions for 5619/277, 6693/837 is 3/231849.