Greatest Common Factor of 4839/139, 2841/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4839/139, 2841/714

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 4839/139,2841/714

Given fractions are 4839/139,2841/714

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 4839,2841

Greatest Common Factor of Numerators i.e. GCF of 4839,2841 is 3 .

LCM of Denominators means LCM of 139,714 as per the given fractions.

LCM of 139,714 is 99246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4839,2841

GCF of Fractions 4839/139,2841/714 is 3/99246

3 4839, 2841
1613, 947

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

Greatest Common Factor of 4839,2841 By Matching Biggest Common Factor Method

Greatest Common Factor of 4839,2841 By Matching Biggest Common Factor Method

Factors of 4839

List of positive integer factors of 4839 that divides 4839 without a remainder.

1,3,1613,4839

Factors of 2841

List of positive integer factors of 2841 that divides 2841 without a remainder.

1,3,947,2841

Greatest Common Factor

We found the factors 4839,2841 . The biggest common factor number is the GCF number.
So the greatest common factor 4839,2841 is 3.

Lets's calculate LCM of 139,714

Given numbers has no common factors except 1. So, there LCM is their product i.e 99246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/99246

Therefore, the GCF of Fractions 4839/139,2841/714 is 3/99246

Least Common Multiple of 139,714 with GCF Formula

Least Common Multiple of 139,714 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 139,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,714) = 1

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

GCF(139,714) x common factors =1 x 1 = 1

LCM(139,714) = ( 139 × 714 ) / 1

LCM(139,714) = 99246 / 1

LCM(139,714) = 99246


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 4839/139, 2841/714

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 4839/139, 2841/714?

Answer: GCF of Numerators as per given numbers 4839/139, 2841/714 is

GCF of Numerators i.e. for 4839,2841 is 3

LCM of denominators i.e. for 139,714 is 99246.

Thus, GCF of Fractions is 3/99246.Finally, GCF of Fractions for 4839/139, 2841/714 is 3/99246.