Greatest Common Factor of 82/23, 59/83, 728/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/23, 59/83, 728/886

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 82/23,59/83,728/886

Given fractions are 82/23,59/83,728/886

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 82,59,728

Greatest Common Factor of Numerators i.e. GCF of 82,59,728 is 1 .

LCM of Denominators means LCM of 23,83,886 as per the given fractions.

LCM of 23,83,886 is 1691374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,59,728

GCF of Fractions 82/23,59/83,728/886 is 1/1691374

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

Greatest Common Factor of 82,59,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,59,728 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 82,59,728 . The biggest common factor number is the GCF number.
So the greatest common factor 82,59,728 is 1.

Lets's calculate LCM of 23,83,886

Given numbers has no common factors except 1. So, there LCM is their product i.e 1691374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1691374

Therefore, the GCF of Fractions 82/23,59/83,728/886 is 1/1691374

Least Common Multiple of 23,83,886 with GCF Formula

Least Common Multiple of 23,83,886 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 23,83,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,83,886) = 1

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

GCF(23,83,886) x common factors =1 x 1 = 1

LCM(23,83,886) = ( 23 × 83 × 886 ) / 1

LCM(23,83,886) = 1691374 / 1

LCM(23,83,886) = 1691374


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 82/23, 59/83, 728/886

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 82/23, 59/83, 728/886?

Answer: GCF of Numerators as per given numbers 82/23, 59/83, 728/886 is

GCF of Numerators i.e. for 82,59,728 is 1

LCM of denominators i.e. for 23,83,886 is 1691374.

Thus, GCF of Fractions is 1/1691374.Finally, GCF of Fractions for 82/23, 59/83, 728/886 is 1/1691374.