Greatest Common Factor of 5084/493, 5116/8728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5084/493, 5116/8728

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 5084/493,5116/8728

Given fractions are 5084/493,5116/8728

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 5084,5116

Greatest Common Factor of Numerators i.e. GCF of 5084,5116 is 4 .

LCM of Denominators means LCM of 493,8728 as per the given fractions.

LCM of 493,8728 is 4302904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5084,5116

GCF of Fractions 5084/493,5116/8728 is 4/4302904

2 5084, 5116
2 2542, 2558
1271, 1279

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5084,5116 By Matching Biggest Common Factor Method

Greatest Common Factor of 5084,5116 By Matching Biggest Common Factor Method

Factors of 5084

List of positive integer factors of 5084 that divides 5084 without a remainder.

1,2,4,31,41,62,82,124,164,1271,2542,5084

Factors of 5116

List of positive integer factors of 5116 that divides 5116 without a remainder.

1,2,4,1279,2558,5116

Greatest Common Factor

We found the factors 5084,5116 . The biggest common factor number is the GCF number.
So the greatest common factor 5084,5116 is 4.

Lets's calculate LCM of 493,8728

Given numbers has no common factors except 1. So, there LCM is their product i.e 4302904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4302904

Therefore, the GCF of Fractions 5084/493,5116/8728 is 4/4302904

Least Common Multiple of 493,8728 with GCF Formula

Least Common Multiple of 493,8728 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 493,8728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,8728) = 1

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

GCF(493,8728) x common factors =1 x 1 = 1

LCM(493,8728) = ( 493 × 8728 ) / 1

LCM(493,8728) = 4302904 / 1

LCM(493,8728) = 4302904


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 5084/493, 5116/8728

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 5084/493, 5116/8728?

Answer: GCF of Numerators as per given numbers 5084/493, 5116/8728 is

GCF of Numerators i.e. for 5084,5116 is 4

LCM of denominators i.e. for 493,8728 is 4302904.

Thus, GCF of Fractions is 4/4302904.Finally, GCF of Fractions for 5084/493, 5116/8728 is 4/4302904.