Greatest Common Factor of 2169/213, 2725/5465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2169/213, 2725/5465

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 2169/213,2725/5465

Given fractions are 2169/213,2725/5465

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 2169,2725

Greatest Common Factor of Numerators i.e. GCF of 2169,2725 is 1 .

LCM of Denominators means LCM of 213,5465 as per the given fractions.

LCM of 213,5465 is 1164045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2169,2725

GCF of Fractions 2169/213,2725/5465 is 1/1164045

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

Greatest Common Factor of 2169,2725 By Matching Biggest Common Factor Method

Greatest Common Factor of 2169,2725 By Matching Biggest Common Factor Method

Factors of 2169

List of positive integer factors of 2169 that divides 2169 without a remainder.

1,3,9,241,723,2169

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 2169,2725 . The biggest common factor number is the GCF number.
So the greatest common factor 2169,2725 is 1.

Lets's calculate LCM of 213,5465

Given numbers has no common factors except 1. So, there LCM is their product i.e 1164045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1164045

Therefore, the GCF of Fractions 2169/213,2725/5465 is 1/1164045

Least Common Multiple of 213,5465 with GCF Formula

Least Common Multiple of 213,5465 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 213,5465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,5465) = 1

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

GCF(213,5465) x common factors =1 x 1 = 1

LCM(213,5465) = ( 213 × 5465 ) / 1

LCM(213,5465) = 1164045 / 1

LCM(213,5465) = 1164045


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 2169/213, 2725/5465

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 2169/213, 2725/5465?

Answer: GCF of Numerators as per given numbers 2169/213, 2725/5465 is

GCF of Numerators i.e. for 2169,2725 is 1

LCM of denominators i.e. for 213,5465 is 1164045.

Thus, GCF of Fractions is 1/1164045.Finally, GCF of Fractions for 2169/213, 2725/5465 is 1/1164045.