Greatest Common Factor of 882/13, 734/34, 135/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/13, 734/34, 135/936

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 882/13,734/34,135/936

Given fractions are 882/13,734/34,135/936

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 882,734,135

Greatest Common Factor of Numerators i.e. GCF of 882,734,135 is 1 .

LCM of Denominators means LCM of 13,34,936 as per the given fractions.

LCM of 13,34,936 is 15912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,734,135

GCF of Fractions 882/13,734/34,135/936 is 1/15912

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

Greatest Common Factor of 882,734,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,734,135 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 882,734,135 . The biggest common factor number is the GCF number.
So the greatest common factor 882,734,135 is 1.

Lets's calculate LCM of 13,34,936

2 13, 34, 936
13 13, 17, 468
1, 17, 36

∴ So the LCM of the given numbers is 2 x 13 x 1 x 17 x 36 = 15912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15912

Therefore, the GCF of Fractions 882/13,734/34,135/936 is 1/15912

Least Common Multiple of 13,34,936 with GCF Formula

Least Common Multiple of 13,34,936 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 13,34,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,34,936) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(13,34,936) x common factors =1 x 26 = 26

LCM(13,34,936) = ( 13 × 34 × 936 ) / 26

LCM(13,34,936) = 413712 / 26

LCM(13,34,936) = 15912


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 882/13, 734/34, 135/936

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 882/13, 734/34, 135/936?

Answer: GCF of Numerators as per given numbers 882/13, 734/34, 135/936 is

GCF of Numerators i.e. for 882,734,135 is 1

LCM of denominators i.e. for 13,34,936 is 15912.

Thus, GCF of Fractions is 1/15912.Finally, GCF of Fractions for 882/13, 734/34, 135/936 is 1/15912.