Greatest Common Factor of 5877/581, 3421/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5877/581, 3421/219

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 5877/581,3421/219

Given fractions are 5877/581,3421/219

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 5877,3421

Greatest Common Factor of Numerators i.e. GCF of 5877,3421 is 1 .

LCM of Denominators means LCM of 581,219 as per the given fractions.

LCM of 581,219 is 127239 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5877,3421

GCF of Fractions 5877/581,3421/219 is 1/127239

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

Greatest Common Factor of 5877,3421 By Matching Biggest Common Factor Method

Greatest Common Factor of 5877,3421 By Matching Biggest Common Factor Method

Factors of 5877

List of positive integer factors of 5877 that divides 5877 without a remainder.

1,3,9,653,1959,5877

Factors of 3421

List of positive integer factors of 3421 that divides 3421 without a remainder.

1,11,311,3421

Greatest Common Factor

We found the factors 5877,3421 . The biggest common factor number is the GCF number.
So the greatest common factor 5877,3421 is 1.

Lets's calculate LCM of 581,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 127239

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127239

Therefore, the GCF of Fractions 5877/581,3421/219 is 1/127239

Least Common Multiple of 581,219 with GCF Formula

Least Common Multiple of 581,219 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 581,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,219) = 1

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

GCF(581,219) x common factors =1 x 1 = 1

LCM(581,219) = ( 581 × 219 ) / 1

LCM(581,219) = 127239 / 1

LCM(581,219) = 127239


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 5877/581, 3421/219

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 5877/581, 3421/219?

Answer: GCF of Numerators as per given numbers 5877/581, 3421/219 is

GCF of Numerators i.e. for 5877,3421 is 1

LCM of denominators i.e. for 581,219 is 127239.

Thus, GCF of Fractions is 1/127239.Finally, GCF of Fractions for 5877/581, 3421/219 is 1/127239.