Greatest Common Factor of 828/91, 358/21, 583/59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/91, 358/21, 583/59

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 828/91,358/21,583/59

Given fractions are 828/91,358/21,583/59

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 828,358,583

Greatest Common Factor of Numerators i.e. GCF of 828,358,583 is 1 .

LCM of Denominators means LCM of 91,21,59 as per the given fractions.

LCM of 91,21,59 is 16107 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,358,583

GCF of Fractions 828/91,358/21,583/59 is 1/16107

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

Greatest Common Factor of 828,358,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,358,583 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 828,358,583 . The biggest common factor number is the GCF number.
So the greatest common factor 828,358,583 is 1.

Lets's calculate LCM of 91,21,59

7 91, 21, 59
13, 3, 59

∴ So the LCM of the given numbers is 7 x 13 x 3 x 59 = 16107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16107

Therefore, the GCF of Fractions 828/91,358/21,583/59 is 1/16107

Least Common Multiple of 91,21,59 with GCF Formula

Least Common Multiple of 91,21,59 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 91,21,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,21,59) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,21,59) x common factors =1 x 7 = 7

LCM(91,21,59) = ( 91 × 21 × 59 ) / 7

LCM(91,21,59) = 112749 / 7

LCM(91,21,59) = 16107


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 828/91, 358/21, 583/59

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 828/91, 358/21, 583/59?

Answer: GCF of Numerators as per given numbers 828/91, 358/21, 583/59 is

GCF of Numerators i.e. for 828,358,583 is 1

LCM of denominators i.e. for 91,21,59 is 16107.

Thus, GCF of Fractions is 1/16107.Finally, GCF of Fractions for 828/91, 358/21, 583/59 is 1/16107.