Greatest Common Factor of 4938/395, 5066/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4938/395, 5066/283

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 4938/395,5066/283

Given fractions are 4938/395,5066/283

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 4938,5066

Greatest Common Factor of Numerators i.e. GCF of 4938,5066 is 2 .

LCM of Denominators means LCM of 395,283 as per the given fractions.

LCM of 395,283 is 111785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4938,5066

GCF of Fractions 4938/395,5066/283 is 2/111785

2 4938, 5066
2469, 2533

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

Greatest Common Factor of 4938,5066 By Matching Biggest Common Factor Method

Greatest Common Factor of 4938,5066 By Matching Biggest Common Factor Method

Factors of 4938

List of positive integer factors of 4938 that divides 4938 without a remainder.

1,2,3,6,823,1646,2469,4938

Factors of 5066

List of positive integer factors of 5066 that divides 5066 without a remainder.

1,2,17,34,149,298,2533,5066

Greatest Common Factor

We found the factors 4938,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 4938,5066 is 2.

Lets's calculate LCM of 395,283

Given numbers has no common factors except 1. So, there LCM is their product i.e 111785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/111785

Therefore, the GCF of Fractions 4938/395,5066/283 is 2/111785

Least Common Multiple of 395,283 with GCF Formula

Least Common Multiple of 395,283 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 395,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,283) = 1

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

GCF(395,283) x common factors =1 x 1 = 1

LCM(395,283) = ( 395 × 283 ) / 1

LCM(395,283) = 111785 / 1

LCM(395,283) = 111785


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 4938/395, 5066/283

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 4938/395, 5066/283?

Answer: GCF of Numerators as per given numbers 4938/395, 5066/283 is

GCF of Numerators i.e. for 4938,5066 is 2

LCM of denominators i.e. for 395,283 is 111785.

Thus, GCF of Fractions is 2/111785.Finally, GCF of Fractions for 4938/395, 5066/283 is 2/111785.