Greatest Common Factor of 5100/689, 6619/4326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5100/689, 6619/4326

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 5100/689,6619/4326

Given fractions are 5100/689,6619/4326

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 5100,6619

Greatest Common Factor of Numerators i.e. GCF of 5100,6619 is 1 .

LCM of Denominators means LCM of 689,4326 as per the given fractions.

LCM of 689,4326 is 2980614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5100,6619

GCF of Fractions 5100/689,6619/4326 is 1/2980614

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

Greatest Common Factor of 5100,6619 By Matching Biggest Common Factor Method

Greatest Common Factor of 5100,6619 By Matching Biggest Common Factor Method

Factors of 5100

List of positive integer factors of 5100 that divides 5100 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100

Factors of 6619

List of positive integer factors of 6619 that divides 6619 without a remainder.

1,6619

Greatest Common Factor

We found the factors 5100,6619 . The biggest common factor number is the GCF number.
So the greatest common factor 5100,6619 is 1.

Lets's calculate LCM of 689,4326

Given numbers has no common factors except 1. So, there LCM is their product i.e 2980614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2980614

Therefore, the GCF of Fractions 5100/689,6619/4326 is 1/2980614

Least Common Multiple of 689,4326 with GCF Formula

Least Common Multiple of 689,4326 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 689,4326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,4326) = 1

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

GCF(689,4326) x common factors =1 x 1 = 1

LCM(689,4326) = ( 689 × 4326 ) / 1

LCM(689,4326) = 2980614 / 1

LCM(689,4326) = 2980614


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 5100/689, 6619/4326

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 5100/689, 6619/4326?

Answer: GCF of Numerators as per given numbers 5100/689, 6619/4326 is

GCF of Numerators i.e. for 5100,6619 is 1

LCM of denominators i.e. for 689,4326 is 2980614.

Thus, GCF of Fractions is 1/2980614.Finally, GCF of Fractions for 5100/689, 6619/4326 is 1/2980614.