Greatest Common Factor of 8865/768, 1715/3631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8865/768, 1715/3631

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 8865/768,1715/3631

Given fractions are 8865/768,1715/3631

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 8865,1715

Greatest Common Factor of Numerators i.e. GCF of 8865,1715 is 5 .

LCM of Denominators means LCM of 768,3631 as per the given fractions.

LCM of 768,3631 is 2788608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8865,1715

GCF of Fractions 8865/768,1715/3631 is 5/2788608

5 8865, 1715
1773, 343

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

Greatest Common Factor of 8865,1715 By Matching Biggest Common Factor Method

Greatest Common Factor of 8865,1715 By Matching Biggest Common Factor Method

Factors of 8865

List of positive integer factors of 8865 that divides 8865 without a remainder.

1,3,5,9,15,45,197,591,985,1773,2955,8865

Factors of 1715

List of positive integer factors of 1715 that divides 1715 without a remainder.

1,5,7,35,49,245,343,1715

Greatest Common Factor

We found the factors 8865,1715 . The biggest common factor number is the GCF number.
So the greatest common factor 8865,1715 is 5.

Lets's calculate LCM of 768,3631

Given numbers has no common factors except 1. So, there LCM is their product i.e 2788608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2788608

Therefore, the GCF of Fractions 8865/768,1715/3631 is 5/2788608

Least Common Multiple of 768,3631 with GCF Formula

Least Common Multiple of 768,3631 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 768,3631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,3631) = 1

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

GCF(768,3631) x common factors =1 x 1 = 1

LCM(768,3631) = ( 768 × 3631 ) / 1

LCM(768,3631) = 2788608 / 1

LCM(768,3631) = 2788608


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 8865/768, 1715/3631

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 8865/768, 1715/3631?

Answer: GCF of Numerators as per given numbers 8865/768, 1715/3631 is

GCF of Numerators i.e. for 8865,1715 is 5

LCM of denominators i.e. for 768,3631 is 2788608.

Thus, GCF of Fractions is 5/2788608.Finally, GCF of Fractions for 8865/768, 1715/3631 is 5/2788608.