Greatest Common Factor of 4837/384, 7922/4143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4837/384, 7922/4143

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 4837/384,7922/4143

Given fractions are 4837/384,7922/4143

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 4837,7922

Greatest Common Factor of Numerators i.e. GCF of 4837,7922 is 1 .

LCM of Denominators means LCM of 384,4143 as per the given fractions.

LCM of 384,4143 is 530304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4837,7922

GCF of Fractions 4837/384,7922/4143 is 1/530304

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

Greatest Common Factor of 4837,7922 By Matching Biggest Common Factor Method

Greatest Common Factor of 4837,7922 By Matching Biggest Common Factor Method

Factors of 4837

List of positive integer factors of 4837 that divides 4837 without a remainder.

1,7,691,4837

Factors of 7922

List of positive integer factors of 7922 that divides 7922 without a remainder.

1,2,17,34,233,466,3961,7922

Greatest Common Factor

We found the factors 4837,7922 . The biggest common factor number is the GCF number.
So the greatest common factor 4837,7922 is 1.

Lets's calculate LCM of 384,4143

3 384, 4143
128, 1381

∴ So the LCM of the given numbers is 3 x 128 x 1381 = 530304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530304

Therefore, the GCF of Fractions 4837/384,7922/4143 is 1/530304

Least Common Multiple of 384,4143 with GCF Formula

Least Common Multiple of 384,4143 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 384,4143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,4143) = 3

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

GCF(384,4143) x common factors =3 x 1 = 3

LCM(384,4143) = ( 384 × 4143 ) / 3

LCM(384,4143) = 1590912 / 3

LCM(384,4143) = 530304


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 4837/384, 7922/4143

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 4837/384, 7922/4143?

Answer: GCF of Numerators as per given numbers 4837/384, 7922/4143 is

GCF of Numerators i.e. for 4837,7922 is 1

LCM of denominators i.e. for 384,4143 is 530304.

Thus, GCF of Fractions is 1/530304.Finally, GCF of Fractions for 4837/384, 7922/4143 is 1/530304.