Greatest Common Factor of 833/57, 726/18, 563/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 833/57, 726/18, 563/134

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 833/57,726/18,563/134

Given fractions are 833/57,726/18,563/134

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 833,726,563

Greatest Common Factor of Numerators i.e. GCF of 833,726,563 is 1 .

LCM of Denominators means LCM of 57,18,134 as per the given fractions.

LCM of 57,18,134 is 22914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 833,726,563

GCF of Fractions 833/57,726/18,563/134 is 1/22914

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

Greatest Common Factor of 833,726,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,726,563 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 833,726,563 . The biggest common factor number is the GCF number.
So the greatest common factor 833,726,563 is 1.

Lets's calculate LCM of 57,18,134

2 57, 18, 134
3 57, 9, 67
19, 3, 67

∴ So the LCM of the given numbers is 2 x 3 x 19 x 3 x 67 = 22914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22914

Therefore, the GCF of Fractions 833/57,726/18,563/134 is 1/22914

Least Common Multiple of 57,18,134 with GCF Formula

Least Common Multiple of 57,18,134 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 57,18,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,18,134) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,18,134) x common factors =1 x 6 = 6

LCM(57,18,134) = ( 57 × 18 × 134 ) / 6

LCM(57,18,134) = 137484 / 6

LCM(57,18,134) = 22914


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 833/57, 726/18, 563/134

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 833/57, 726/18, 563/134?

Answer: GCF of Numerators as per given numbers 833/57, 726/18, 563/134 is

GCF of Numerators i.e. for 833,726,563 is 1

LCM of denominators i.e. for 57,18,134 is 22914.

Thus, GCF of Fractions is 1/22914.Finally, GCF of Fractions for 833/57, 726/18, 563/134 is 1/22914.