Greatest Common Factor of 2253/83, 2725/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2253/83, 2725/869

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 2253/83,2725/869

Given fractions are 2253/83,2725/869

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 2253,2725

Greatest Common Factor of Numerators i.e. GCF of 2253,2725 is 1 .

LCM of Denominators means LCM of 83,869 as per the given fractions.

LCM of 83,869 is 72127 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2253,2725

GCF of Fractions 2253/83,2725/869 is 1/72127

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

Greatest Common Factor of 2253,2725 By Matching Biggest Common Factor Method

Greatest Common Factor of 2253,2725 By Matching Biggest Common Factor Method

Factors of 2253

List of positive integer factors of 2253 that divides 2253 without a remainder.

1,3,751,2253

Factors of 2725

List of positive integer factors of 2725 that divides 2725 without a remainder.

1,5,25,109,545,2725

Greatest Common Factor

We found the factors 2253,2725 . The biggest common factor number is the GCF number.
So the greatest common factor 2253,2725 is 1.

Lets's calculate LCM of 83,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 72127

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72127

Therefore, the GCF of Fractions 2253/83,2725/869 is 1/72127

Least Common Multiple of 83,869 with GCF Formula

Least Common Multiple of 83,869 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 83,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,869) = 1

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

GCF(83,869) x common factors =1 x 1 = 1

LCM(83,869) = ( 83 × 869 ) / 1

LCM(83,869) = 72127 / 1

LCM(83,869) = 72127


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 2253/83, 2725/869

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 2253/83, 2725/869?

Answer: GCF of Numerators as per given numbers 2253/83, 2725/869 is

GCF of Numerators i.e. for 2253,2725 is 1

LCM of denominators i.e. for 83,869 is 72127.

Thus, GCF of Fractions is 1/72127.Finally, GCF of Fractions for 2253/83, 2725/869 is 1/72127.