Greatest Common Factor of 882/381, 3777/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/381, 3777/242

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 882/381,3777/242

Given fractions are 882/381,3777/242

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 882,3777

Greatest Common Factor of Numerators i.e. GCF of 882,3777 is 3 .

LCM of Denominators means LCM of 381,242 as per the given fractions.

LCM of 381,242 is 92202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,3777

GCF of Fractions 882/381,3777/242 is 3/92202

3 882, 3777
294, 1259

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

Greatest Common Factor of 882,3777 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,3777 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 3777

List of positive integer factors of 3777 that divides 3777 without a remainder.

1,3,1259,3777

Greatest Common Factor

We found the factors 882,3777 . The biggest common factor number is the GCF number.
So the greatest common factor 882,3777 is 3.

Lets's calculate LCM of 381,242

Given numbers has no common factors except 1. So, there LCM is their product i.e 92202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/92202

Therefore, the GCF of Fractions 882/381,3777/242 is 3/92202

Least Common Multiple of 381,242 with GCF Formula

Least Common Multiple of 381,242 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 381,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,242) = 1

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

GCF(381,242) x common factors =1 x 1 = 1

LCM(381,242) = ( 381 × 242 ) / 1

LCM(381,242) = 92202 / 1

LCM(381,242) = 92202


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 882/381, 3777/242

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 882/381, 3777/242?

Answer: GCF of Numerators as per given numbers 882/381, 3777/242 is

GCF of Numerators i.e. for 882,3777 is 3

LCM of denominators i.e. for 381,242 is 92202.

Thus, GCF of Fractions is 3/92202.Finally, GCF of Fractions for 882/381, 3777/242 is 3/92202.