Greatest Common Factor of 2700/65, 6523/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2700/65, 6523/521

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 2700/65,6523/521

Given fractions are 2700/65,6523/521

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 2700,6523

Greatest Common Factor of Numerators i.e. GCF of 2700,6523 is 1 .

LCM of Denominators means LCM of 65,521 as per the given fractions.

LCM of 65,521 is 33865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2700,6523

GCF of Fractions 2700/65,6523/521 is 1/33865

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

Greatest Common Factor of 2700,6523 By Matching Biggest Common Factor Method

Greatest Common Factor of 2700,6523 By Matching Biggest Common Factor Method

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700

Factors of 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1,11,593,6523

Greatest Common Factor

We found the factors 2700,6523 . The biggest common factor number is the GCF number.
So the greatest common factor 2700,6523 is 1.

Lets's calculate LCM of 65,521

Given numbers has no common factors except 1. So, there LCM is their product i.e 33865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33865

Therefore, the GCF of Fractions 2700/65,6523/521 is 1/33865

Least Common Multiple of 65,521 with GCF Formula

Least Common Multiple of 65,521 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 65,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,521) = 1

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

GCF(65,521) x common factors =1 x 1 = 1

LCM(65,521) = ( 65 × 521 ) / 1

LCM(65,521) = 33865 / 1

LCM(65,521) = 33865


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 2700/65, 6523/521

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 2700/65, 6523/521?

Answer: GCF of Numerators as per given numbers 2700/65, 6523/521 is

GCF of Numerators i.e. for 2700,6523 is 1

LCM of denominators i.e. for 65,521 is 33865.

Thus, GCF of Fractions is 1/33865.Finally, GCF of Fractions for 2700/65, 6523/521 is 1/33865.