Greatest Common Factor of 8555/861, 2400/7064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8555/861, 2400/7064

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 8555/861,2400/7064

Given fractions are 8555/861,2400/7064

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 8555,2400

Greatest Common Factor of Numerators i.e. GCF of 8555,2400 is 5 .

LCM of Denominators means LCM of 861,7064 as per the given fractions.

LCM of 861,7064 is 6082104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8555,2400

GCF of Fractions 8555/861,2400/7064 is 5/6082104

5 8555, 2400
1711, 480

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8555,2400 By Matching Biggest Common Factor Method

Greatest Common Factor of 8555,2400 By Matching Biggest Common Factor Method

Factors of 8555

List of positive integer factors of 8555 that divides 8555 without a remainder.

1,5,29,59,145,295,1711,8555

Factors of 2400

List of positive integer factors of 2400 that divides 2400 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400

Greatest Common Factor

We found the factors 8555,2400 . The biggest common factor number is the GCF number.
So the greatest common factor 8555,2400 is 5.

Lets's calculate LCM of 861,7064

Given numbers has no common factors except 1. So, there LCM is their product i.e 6082104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6082104

Therefore, the GCF of Fractions 8555/861,2400/7064 is 5/6082104

Least Common Multiple of 861,7064 with GCF Formula

Least Common Multiple of 861,7064 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 861,7064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,7064) = 1

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

GCF(861,7064) x common factors =1 x 1 = 1

LCM(861,7064) = ( 861 × 7064 ) / 1

LCM(861,7064) = 6082104 / 1

LCM(861,7064) = 6082104


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 8555/861, 2400/7064

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 8555/861, 2400/7064?

Answer: GCF of Numerators as per given numbers 8555/861, 2400/7064 is

GCF of Numerators i.e. for 8555,2400 is 5

LCM of denominators i.e. for 861,7064 is 6082104.

Thus, GCF of Fractions is 5/6082104.Finally, GCF of Fractions for 8555/861, 2400/7064 is 5/6082104.