Greatest Common Factor of 1725/908, 2096/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1725/908, 2096/627

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 1725/908,2096/627

Given fractions are 1725/908,2096/627

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 1725,2096

Greatest Common Factor of Numerators i.e. GCF of 1725,2096 is 1 .

LCM of Denominators means LCM of 908,627 as per the given fractions.

LCM of 908,627 is 569316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1725,2096

GCF of Fractions 1725/908,2096/627 is 1/569316

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

Greatest Common Factor of 1725,2096 By Matching Biggest Common Factor Method

Greatest Common Factor of 1725,2096 By Matching Biggest Common Factor Method

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1,3,5,15,23,25,69,75,115,345,575,1725

Factors of 2096

List of positive integer factors of 2096 that divides 2096 without a remainder.

1,2,4,8,16,131,262,524,1048,2096

Greatest Common Factor

We found the factors 1725,2096 . The biggest common factor number is the GCF number.
So the greatest common factor 1725,2096 is 1.

Lets's calculate LCM of 908,627

Given numbers has no common factors except 1. So, there LCM is their product i.e 569316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/569316

Therefore, the GCF of Fractions 1725/908,2096/627 is 1/569316

Least Common Multiple of 908,627 with GCF Formula

Least Common Multiple of 908,627 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 908,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,627) = 1

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

GCF(908,627) x common factors =1 x 1 = 1

LCM(908,627) = ( 908 × 627 ) / 1

LCM(908,627) = 569316 / 1

LCM(908,627) = 569316


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 1725/908, 2096/627

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 1725/908, 2096/627?

Answer: GCF of Numerators as per given numbers 1725/908, 2096/627 is

GCF of Numerators i.e. for 1725,2096 is 1

LCM of denominators i.e. for 908,627 is 569316.

Thus, GCF of Fractions is 1/569316.Finally, GCF of Fractions for 1725/908, 2096/627 is 1/569316.