Greatest Common Factor of 268/729, 3023/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/729, 3023/745

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 268/729,3023/745

Given fractions are 268/729,3023/745

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 268,3023

Greatest Common Factor of Numerators i.e. GCF of 268,3023 is 1 .

LCM of Denominators means LCM of 729,745 as per the given fractions.

LCM of 729,745 is 543105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,3023

GCF of Fractions 268/729,3023/745 is 1/543105

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

Greatest Common Factor of 268,3023 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,3023 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 3023

List of positive integer factors of 3023 that divides 3023 without a remainder.

1,3023

Greatest Common Factor

We found the factors 268,3023 . The biggest common factor number is the GCF number.
So the greatest common factor 268,3023 is 1.

Lets's calculate LCM of 729,745

Given numbers has no common factors except 1. So, there LCM is their product i.e 543105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543105

Therefore, the GCF of Fractions 268/729,3023/745 is 1/543105

Least Common Multiple of 729,745 with GCF Formula

Least Common Multiple of 729,745 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 729,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,745) = 1

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

GCF(729,745) x common factors =1 x 1 = 1

LCM(729,745) = ( 729 × 745 ) / 1

LCM(729,745) = 543105 / 1

LCM(729,745) = 543105


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 268/729, 3023/745

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 268/729, 3023/745?

Answer: GCF of Numerators as per given numbers 268/729, 3023/745 is

GCF of Numerators i.e. for 268,3023 is 1

LCM of denominators i.e. for 729,745 is 543105.

Thus, GCF of Fractions is 1/543105.Finally, GCF of Fractions for 268/729, 3023/745 is 1/543105.