Greatest Common Factor of 882/14, 828/4382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/14, 828/4382

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 882/14,828/4382

Given fractions are 882/14,828/4382

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 882,828

Greatest Common Factor of Numerators i.e. GCF of 882,828 is 18 .

LCM of Denominators means LCM of 14,4382 as per the given fractions.

LCM of 14,4382 is 4382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,828

GCF of Fractions 882/14,828/4382 is 18/4382

2 882, 828
3 441, 414
3 147, 138
49, 46

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 882,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,828 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 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

Greatest Common Factor

We found the factors 882,828 . The biggest common factor number is the GCF number.
So the greatest common factor 882,828 is 18.

Lets's calculate LCM of 14,4382

2 14, 4382
7 7, 2191
1, 313

∴ So the LCM of the given numbers is 2 x 7 x 1 x 313 = 4382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/4382

Therefore, the GCF of Fractions 882/14,828/4382 is 18/4382

Least Common Multiple of 14,4382 with GCF Formula

Least Common Multiple of 14,4382 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 14,4382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,4382) = 14

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

GCF(14,4382) x common factors =14 x 1 = 14

LCM(14,4382) = ( 14 × 4382 ) / 14

LCM(14,4382) = 61348 / 14

LCM(14,4382) = 4382


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 882/14, 828/4382

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 882/14, 828/4382?

Answer: GCF of Numerators as per given numbers 882/14, 828/4382 is

GCF of Numerators i.e. for 882,828 is 18

LCM of denominators i.e. for 14,4382 is 4382.

Thus, GCF of Fractions is 18/4382.Finally, GCF of Fractions for 882/14, 828/4382 is 18/4382.