Greatest Common Factor of 424/82, 378/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 424/82, 378/121

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 424/82,378/121

Given fractions are 424/82,378/121

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 424,378

Greatest Common Factor of Numerators i.e. GCF of 424,378 is 2 .

LCM of Denominators means LCM of 82,121 as per the given fractions.

LCM of 82,121 is 9922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 424,378

GCF of Fractions 424/82,378/121 is 2/9922

2 424, 378
212, 189

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

Greatest Common Factor of 424,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,378 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 424,378 . The biggest common factor number is the GCF number.
So the greatest common factor 424,378 is 2.

Lets's calculate LCM of 82,121

Given numbers has no common factors except 1. So, there LCM is their product i.e 9922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9922

Therefore, the GCF of Fractions 424/82,378/121 is 2/9922

Least Common Multiple of 82,121 with GCF Formula

Least Common Multiple of 82,121 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 82,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,121) = 1

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

GCF(82,121) x common factors =1 x 1 = 1

LCM(82,121) = ( 82 × 121 ) / 1

LCM(82,121) = 9922 / 1

LCM(82,121) = 9922


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 424/82, 378/121

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 424/82, 378/121?

Answer: GCF of Numerators as per given numbers 424/82, 378/121 is

GCF of Numerators i.e. for 424,378 is 2

LCM of denominators i.e. for 82,121 is 9922.

Thus, GCF of Fractions is 2/9922.Finally, GCF of Fractions for 424/82, 378/121 is 2/9922.