Greatest Common Factor of 33/24, 86/15, 761/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/24, 86/15, 761/797

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 33/24,86/15,761/797

Given fractions are 33/24,86/15,761/797

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 33,86,761

Greatest Common Factor of Numerators i.e. GCF of 33,86,761 is 1 .

LCM of Denominators means LCM of 24,15,797 as per the given fractions.

LCM of 24,15,797 is 95640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,86,761

GCF of Fractions 33/24,86/15,761/797 is 1/95640

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

Greatest Common Factor of 33,86,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,86,761 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 33,86,761 . The biggest common factor number is the GCF number.
So the greatest common factor 33,86,761 is 1.

Lets's calculate LCM of 24,15,797

3 24, 15, 797
8, 5, 797

∴ So the LCM of the given numbers is 3 x 8 x 5 x 797 = 95640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95640

Therefore, the GCF of Fractions 33/24,86/15,761/797 is 1/95640

Least Common Multiple of 24,15,797 with GCF Formula

Least Common Multiple of 24,15,797 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 24,15,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,15,797) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(24,15,797) x common factors =1 x 3 = 3

LCM(24,15,797) = ( 24 × 15 × 797 ) / 3

LCM(24,15,797) = 286920 / 3

LCM(24,15,797) = 95640


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 33/24, 86/15, 761/797

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 33/24, 86/15, 761/797?

Answer: GCF of Numerators as per given numbers 33/24, 86/15, 761/797 is

GCF of Numerators i.e. for 33,86,761 is 1

LCM of denominators i.e. for 24,15,797 is 95640.

Thus, GCF of Fractions is 1/95640.Finally, GCF of Fractions for 33/24, 86/15, 761/797 is 1/95640.