Greatest Common Factor of 882/13, 348/16, 296/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/13, 348/16, 296/36

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 882/13,348/16,296/36

Given fractions are 882/13,348/16,296/36

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 882,348,296

Greatest Common Factor of Numerators i.e. GCF of 882,348,296 is 2 .

LCM of Denominators means LCM of 13,16,36 as per the given fractions.

LCM of 13,16,36 is 1872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,348,296

GCF of Fractions 882/13,348/16,296/36 is 2/1872

2 882, 348, 296
441, 174, 148

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 882,348,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,348,296 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 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 882,348,296 . The biggest common factor number is the GCF number.
So the greatest common factor 882,348,296 is 2.

Lets's calculate LCM of 13,16,36

2 13, 16, 36
2 13, 8, 18
13, 4, 9

∴ So the LCM of the given numbers is 2 x 2 x 13 x 4 x 9 = 1872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1872

Therefore, the GCF of Fractions 882/13,348/16,296/36 is 2/1872

Least Common Multiple of 13,16,36 with GCF Formula

Least Common Multiple of 13,16,36 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 13,16,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,16,36) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(13,16,36) x common factors =1 x 4 = 4

LCM(13,16,36) = ( 13 × 16 × 36 ) / 4

LCM(13,16,36) = 7488 / 4

LCM(13,16,36) = 1872


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, 348/16, 296/36

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, 348/16, 296/36?

Answer: GCF of Numerators as per given numbers 882/13, 348/16, 296/36 is

GCF of Numerators i.e. for 882,348,296 is 2

LCM of denominators i.e. for 13,16,36 is 1872.

Thus, GCF of Fractions is 2/1872.Finally, GCF of Fractions for 882/13, 348/16, 296/36 is 2/1872.