Greatest Common Factor of 5389/388, 1420/4226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5389/388, 1420/4226

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 5389/388,1420/4226

Given fractions are 5389/388,1420/4226

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 5389,1420

Greatest Common Factor of Numerators i.e. GCF of 5389,1420 is 1 .

LCM of Denominators means LCM of 388,4226 as per the given fractions.

LCM of 388,4226 is 819844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5389,1420

GCF of Fractions 5389/388,1420/4226 is 1/819844

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

Greatest Common Factor of 5389,1420 By Matching Biggest Common Factor Method

Greatest Common Factor of 5389,1420 By Matching Biggest Common Factor Method

Factors of 5389

List of positive integer factors of 5389 that divides 5389 without a remainder.

1,17,317,5389

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1,2,4,5,10,20,71,142,284,355,710,1420

Greatest Common Factor

We found the factors 5389,1420 . The biggest common factor number is the GCF number.
So the greatest common factor 5389,1420 is 1.

Lets's calculate LCM of 388,4226

2 388, 4226
194, 2113

∴ So the LCM of the given numbers is 2 x 194 x 2113 = 819844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/819844

Therefore, the GCF of Fractions 5389/388,1420/4226 is 1/819844

Least Common Multiple of 388,4226 with GCF Formula

Least Common Multiple of 388,4226 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 388,4226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,4226) = 2

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

GCF(388,4226) x common factors =2 x 1 = 2

LCM(388,4226) = ( 388 × 4226 ) / 2

LCM(388,4226) = 1639688 / 2

LCM(388,4226) = 819844


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 5389/388, 1420/4226

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 5389/388, 1420/4226?

Answer: GCF of Numerators as per given numbers 5389/388, 1420/4226 is

GCF of Numerators i.e. for 5389,1420 is 1

LCM of denominators i.e. for 388,4226 is 819844.

Thus, GCF of Fractions is 1/819844.Finally, GCF of Fractions for 5389/388, 1420/4226 is 1/819844.