Greatest Common Factor of 31/216, 4424/5401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/216, 4424/5401

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 31/216,4424/5401

Given fractions are 31/216,4424/5401

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 31,4424

Greatest Common Factor of Numerators i.e. GCF of 31,4424 is 1 .

LCM of Denominators means LCM of 216,5401 as per the given fractions.

LCM of 216,5401 is 1166616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,4424

GCF of Fractions 31/216,4424/5401 is 1/1166616

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

Greatest Common Factor of 31,4424 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,4424 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 4424

List of positive integer factors of 4424 that divides 4424 without a remainder.

1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424

Greatest Common Factor

We found the factors 31,4424 . The biggest common factor number is the GCF number.
So the greatest common factor 31,4424 is 1.

Lets's calculate LCM of 216,5401

Given numbers has no common factors except 1. So, there LCM is their product i.e 1166616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1166616

Therefore, the GCF of Fractions 31/216,4424/5401 is 1/1166616

Least Common Multiple of 216,5401 with GCF Formula

Least Common Multiple of 216,5401 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 216,5401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,5401) = 1

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

GCF(216,5401) x common factors =1 x 1 = 1

LCM(216,5401) = ( 216 × 5401 ) / 1

LCM(216,5401) = 1166616 / 1

LCM(216,5401) = 1166616


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 31/216, 4424/5401

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 31/216, 4424/5401?

Answer: GCF of Numerators as per given numbers 31/216, 4424/5401 is

GCF of Numerators i.e. for 31,4424 is 1

LCM of denominators i.e. for 216,5401 is 1166616.

Thus, GCF of Fractions is 1/1166616.Finally, GCF of Fractions for 31/216, 4424/5401 is 1/1166616.