Greatest Common Factor of 8123/410, 5421/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8123/410, 5421/144

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 8123/410,5421/144

Given fractions are 8123/410,5421/144

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 8123,5421

Greatest Common Factor of Numerators i.e. GCF of 8123,5421 is 1 .

LCM of Denominators means LCM of 410,144 as per the given fractions.

LCM of 410,144 is 29520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8123,5421

GCF of Fractions 8123/410,5421/144 is 1/29520

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

Greatest Common Factor of 8123,5421 By Matching Biggest Common Factor Method

Greatest Common Factor of 8123,5421 By Matching Biggest Common Factor Method

Factors of 8123

List of positive integer factors of 8123 that divides 8123 without a remainder.

1,8123

Factors of 5421

List of positive integer factors of 5421 that divides 5421 without a remainder.

1,3,13,39,139,417,1807,5421

Greatest Common Factor

We found the factors 8123,5421 . The biggest common factor number is the GCF number.
So the greatest common factor 8123,5421 is 1.

Lets's calculate LCM of 410,144

2 410, 144
205, 72

∴ So the LCM of the given numbers is 2 x 205 x 72 = 29520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29520

Therefore, the GCF of Fractions 8123/410,5421/144 is 1/29520

Least Common Multiple of 410,144 with GCF Formula

Least Common Multiple of 410,144 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 410,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,144) = 2

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

GCF(410,144) x common factors =2 x 1 = 2

LCM(410,144) = ( 410 × 144 ) / 2

LCM(410,144) = 59040 / 2

LCM(410,144) = 29520


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 8123/410, 5421/144

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 8123/410, 5421/144?

Answer: GCF of Numerators as per given numbers 8123/410, 5421/144 is

GCF of Numerators i.e. for 8123,5421 is 1

LCM of denominators i.e. for 410,144 is 29520.

Thus, GCF of Fractions is 1/29520.Finally, GCF of Fractions for 8123/410, 5421/144 is 1/29520.