Greatest Common Factor of 8062/273, 2506/5333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8062/273, 2506/5333

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 8062/273,2506/5333

Given fractions are 8062/273,2506/5333

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 8062,2506

Greatest Common Factor of Numerators i.e. GCF of 8062,2506 is 2 .

LCM of Denominators means LCM of 273,5333 as per the given fractions.

LCM of 273,5333 is 1455909 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8062,2506

GCF of Fractions 8062/273,2506/5333 is 2/1455909

2 8062, 2506
4031, 1253

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

Greatest Common Factor of 8062,2506 By Matching Biggest Common Factor Method

Greatest Common Factor of 8062,2506 By Matching Biggest Common Factor Method

Factors of 8062

List of positive integer factors of 8062 that divides 8062 without a remainder.

1,2,29,58,139,278,4031,8062

Factors of 2506

List of positive integer factors of 2506 that divides 2506 without a remainder.

1,2,7,14,179,358,1253,2506

Greatest Common Factor

We found the factors 8062,2506 . The biggest common factor number is the GCF number.
So the greatest common factor 8062,2506 is 2.

Lets's calculate LCM of 273,5333

Given numbers has no common factors except 1. So, there LCM is their product i.e 1455909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1455909

Therefore, the GCF of Fractions 8062/273,2506/5333 is 2/1455909

Least Common Multiple of 273,5333 with GCF Formula

Least Common Multiple of 273,5333 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 273,5333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,5333) = 1

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

GCF(273,5333) x common factors =1 x 1 = 1

LCM(273,5333) = ( 273 × 5333 ) / 1

LCM(273,5333) = 1455909 / 1

LCM(273,5333) = 1455909


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 8062/273, 2506/5333

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 8062/273, 2506/5333?

Answer: GCF of Numerators as per given numbers 8062/273, 2506/5333 is

GCF of Numerators i.e. for 8062,2506 is 2

LCM of denominators i.e. for 273,5333 is 1455909.

Thus, GCF of Fractions is 2/1455909.Finally, GCF of Fractions for 8062/273, 2506/5333 is 2/1455909.