Greatest Common Factor of 5050/11, 6851/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5050/11, 6851/652

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 5050/11,6851/652

Given fractions are 5050/11,6851/652

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 5050,6851

Greatest Common Factor of Numerators i.e. GCF of 5050,6851 is 1 .

LCM of Denominators means LCM of 11,652 as per the given fractions.

LCM of 11,652 is 7172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5050,6851

GCF of Fractions 5050/11,6851/652 is 1/7172

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

Greatest Common Factor of 5050,6851 By Matching Biggest Common Factor Method

Greatest Common Factor of 5050,6851 By Matching Biggest Common Factor Method

Factors of 5050

List of positive integer factors of 5050 that divides 5050 without a remainder.

1,2,5,10,25,50,101,202,505,1010,2525,5050

Factors of 6851

List of positive integer factors of 6851 that divides 6851 without a remainder.

1,13,17,31,221,403,527,6851

Greatest Common Factor

We found the factors 5050,6851 . The biggest common factor number is the GCF number.
So the greatest common factor 5050,6851 is 1.

Lets's calculate LCM of 11,652

Given numbers has no common factors except 1. So, there LCM is their product i.e 7172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7172

Therefore, the GCF of Fractions 5050/11,6851/652 is 1/7172

Least Common Multiple of 11,652 with GCF Formula

Least Common Multiple of 11,652 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 11,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,652) = 1

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

GCF(11,652) x common factors =1 x 1 = 1

LCM(11,652) = ( 11 × 652 ) / 1

LCM(11,652) = 7172 / 1

LCM(11,652) = 7172


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 5050/11, 6851/652

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 5050/11, 6851/652?

Answer: GCF of Numerators as per given numbers 5050/11, 6851/652 is

GCF of Numerators i.e. for 5050,6851 is 1

LCM of denominators i.e. for 11,652 is 7172.

Thus, GCF of Fractions is 1/7172.Finally, GCF of Fractions for 5050/11, 6851/652 is 1/7172.