Greatest Common Factor of 168/81, 375/41, 882/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 168/81, 375/41, 882/811

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 168/81,375/41,882/811

Given fractions are 168/81,375/41,882/811

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 168,375,882

Greatest Common Factor of Numerators i.e. GCF of 168,375,882 is 3 .

LCM of Denominators means LCM of 81,41,811 as per the given fractions.

LCM of 81,41,811 is 2693331 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,375,882

GCF of Fractions 168/81,375/41,882/811 is 3/2693331

3 168, 375, 882
56, 125, 294

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 168,375,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,375,882 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

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

Greatest Common Factor

We found the factors 168,375,882 . The biggest common factor number is the GCF number.
So the greatest common factor 168,375,882 is 3.

Lets's calculate LCM of 81,41,811

Given numbers has no common factors except 1. So, there LCM is their product i.e 2693331

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2693331

Therefore, the GCF of Fractions 168/81,375/41,882/811 is 3/2693331

Least Common Multiple of 81,41,811 with GCF Formula

Least Common Multiple of 81,41,811 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 81,41,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,41,811) = 1

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

GCF(81,41,811) x common factors =1 x 1 = 1

LCM(81,41,811) = ( 81 × 41 × 811 ) / 1

LCM(81,41,811) = 2693331 / 1

LCM(81,41,811) = 2693331


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 168/81, 375/41, 882/811

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 168/81, 375/41, 882/811?

Answer: GCF of Numerators as per given numbers 168/81, 375/41, 882/811 is

GCF of Numerators i.e. for 168,375,882 is 3

LCM of denominators i.e. for 81,41,811 is 2693331.

Thus, GCF of Fractions is 3/2693331.Finally, GCF of Fractions for 168/81, 375/41, 882/811 is 3/2693331.