Greatest Common Factor of 882/42, 6020/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/42, 6020/189

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 882/42,6020/189

Given fractions are 882/42,6020/189

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 882,6020

Greatest Common Factor of Numerators i.e. GCF of 882,6020 is 14 .

LCM of Denominators means LCM of 42,189 as per the given fractions.

LCM of 42,189 is 378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,6020

GCF of Fractions 882/42,6020/189 is 14/378

2 882, 6020
7 441, 3010
63, 430

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 882,6020 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,6020 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 6020

List of positive integer factors of 6020 that divides 6020 without a remainder.

1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020

Greatest Common Factor

We found the factors 882,6020 . The biggest common factor number is the GCF number.
So the greatest common factor 882,6020 is 14.

Lets's calculate LCM of 42,189

3 42, 189
7 14, 63
2, 9

∴ So the LCM of the given numbers is 3 x 7 x 2 x 9 = 378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/378

Therefore, the GCF of Fractions 882/42,6020/189 is 14/378

Least Common Multiple of 42,189 with GCF Formula

Least Common Multiple of 42,189 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 42,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,189) = 21

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

GCF(42,189) x common factors =21 x 1 = 21

LCM(42,189) = ( 42 × 189 ) / 21

LCM(42,189) = 7938 / 21

LCM(42,189) = 378


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 882/42, 6020/189

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 882/42, 6020/189?

Answer: GCF of Numerators as per given numbers 882/42, 6020/189 is

GCF of Numerators i.e. for 882,6020 is 14

LCM of denominators i.e. for 42,189 is 378.

Thus, GCF of Fractions is 14/378.Finally, GCF of Fractions for 882/42, 6020/189 is 14/378.