Greatest Common Factor of 1728/203, 4867/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1728/203, 4867/371

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 1728/203,4867/371

Given fractions are 1728/203,4867/371

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 1728,4867

Greatest Common Factor of Numerators i.e. GCF of 1728,4867 is 1 .

LCM of Denominators means LCM of 203,371 as per the given fractions.

LCM of 203,371 is 10759 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1728,4867

GCF of Fractions 1728/203,4867/371 is 1/10759

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

Greatest Common Factor of 1728,4867 By Matching Biggest Common Factor Method

Greatest Common Factor of 1728,4867 By Matching Biggest Common Factor Method

Factors of 1728

List of positive integer factors of 1728 that divides 1728 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728

Factors of 4867

List of positive integer factors of 4867 that divides 4867 without a remainder.

1,31,157,4867

Greatest Common Factor

We found the factors 1728,4867 . The biggest common factor number is the GCF number.
So the greatest common factor 1728,4867 is 1.

Lets's calculate LCM of 203,371

7 203, 371
29, 53

∴ So the LCM of the given numbers is 7 x 29 x 53 = 10759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10759

Therefore, the GCF of Fractions 1728/203,4867/371 is 1/10759

Least Common Multiple of 203,371 with GCF Formula

Least Common Multiple of 203,371 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 203,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,371) = 7

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

GCF(203,371) x common factors =7 x 1 = 7

LCM(203,371) = ( 203 × 371 ) / 7

LCM(203,371) = 75313 / 7

LCM(203,371) = 10759


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 1728/203, 4867/371

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 1728/203, 4867/371?

Answer: GCF of Numerators as per given numbers 1728/203, 4867/371 is

GCF of Numerators i.e. for 1728,4867 is 1

LCM of denominators i.e. for 203,371 is 10759.

Thus, GCF of Fractions is 1/10759.Finally, GCF of Fractions for 1728/203, 4867/371 is 1/10759.