Greatest Common Factor of 793/89, 915/8021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 793/89, 915/8021

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 793/89,915/8021

Given fractions are 793/89,915/8021

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 793,915

Greatest Common Factor of Numerators i.e. GCF of 793,915 is 61 .

LCM of Denominators means LCM of 89,8021 as per the given fractions.

LCM of 89,8021 is 713869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 793,915

GCF of Fractions 793/89,915/8021 is 61/713869

61 793, 915
13, 15

∴ So the GCF of the given numbers is 61 = 61

Greatest Common Factor of 793,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,915 By Matching Biggest Common Factor Method

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 793,915 . The biggest common factor number is the GCF number.
So the greatest common factor 793,915 is 61.


Lets's calculate LCM of 89,8021

Given numbers has no common factors except 1. So, there LCM is their product i.e 713869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/713869

Therefore, the GCF of Fractions 793/89,915/8021 is 61/713869

Least Common Multiple of 89,8021 with GCF Formula

Least Common Multiple of 89,8021 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 89,8021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,8021) = 1

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

GCF(89,8021) x common factors =1 x 1 = 1

LCM(89,8021) = ( 89 × 8021 ) / 1

LCM(89,8021) = 713869 / 1

LCM(89,8021) = 713869


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 793/89, 915/8021

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 793/89, 915/8021?

Answer: GCF of Numerators as per given numbers 793/89, 915/8021 is

GCF of Numerators i.e. for 793,915 is 61

LCM of denominators i.e. for 89,8021 is 713869.

Thus, GCF of Fractions is 61/713869.Finally, GCF of Fractions for 793/89, 915/8021 is 61/713869.