Greatest Common Factor of 4821/194, 8272/2422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4821/194, 8272/2422

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 4821/194,8272/2422

Given fractions are 4821/194,8272/2422

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 4821,8272

Greatest Common Factor of Numerators i.e. GCF of 4821,8272 is 1 .

LCM of Denominators means LCM of 194,2422 as per the given fractions.

LCM of 194,2422 is 234934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4821,8272

GCF of Fractions 4821/194,8272/2422 is 1/234934

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4821,8272 By Matching Biggest Common Factor Method

Greatest Common Factor of 4821,8272 By Matching Biggest Common Factor Method

Factors of 4821

List of positive integer factors of 4821 that divides 4821 without a remainder.

1,3,1607,4821

Factors of 8272

List of positive integer factors of 8272 that divides 8272 without a remainder.

1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272

Greatest Common Factor

We found the factors 4821,8272 . The biggest common factor number is the GCF number.
So the greatest common factor 4821,8272 is 1.

Lets's calculate LCM of 194,2422

2 194, 2422
97, 1211

∴ So the LCM of the given numbers is 2 x 97 x 1211 = 234934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234934

Therefore, the GCF of Fractions 4821/194,8272/2422 is 1/234934

Least Common Multiple of 194,2422 with GCF Formula

Least Common Multiple of 194,2422 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 194,2422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,2422) = 2

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

GCF(194,2422) x common factors =2 x 1 = 2

LCM(194,2422) = ( 194 × 2422 ) / 2

LCM(194,2422) = 469868 / 2

LCM(194,2422) = 234934


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 4821/194, 8272/2422

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 4821/194, 8272/2422?

Answer: GCF of Numerators as per given numbers 4821/194, 8272/2422 is

GCF of Numerators i.e. for 4821,8272 is 1

LCM of denominators i.e. for 194,2422 is 234934.

Thus, GCF of Fractions is 1/234934.Finally, GCF of Fractions for 4821/194, 8272/2422 is 1/234934.