Greatest Common Factor of 4622/493, 3382/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4622/493, 3382/273

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 4622/493,3382/273

Given fractions are 4622/493,3382/273

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 4622,3382

Greatest Common Factor of Numerators i.e. GCF of 4622,3382 is 2 .

LCM of Denominators means LCM of 493,273 as per the given fractions.

LCM of 493,273 is 134589 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4622,3382

GCF of Fractions 4622/493,3382/273 is 2/134589

2 4622, 3382
2311, 1691

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

Greatest Common Factor of 4622,3382 By Matching Biggest Common Factor Method

Greatest Common Factor of 4622,3382 By Matching Biggest Common Factor Method

Factors of 4622

List of positive integer factors of 4622 that divides 4622 without a remainder.

1,2,2311,4622

Factors of 3382

List of positive integer factors of 3382 that divides 3382 without a remainder.

1,2,19,38,89,178,1691,3382

Greatest Common Factor

We found the factors 4622,3382 . The biggest common factor number is the GCF number.
So the greatest common factor 4622,3382 is 2.

Lets's calculate LCM of 493,273

Given numbers has no common factors except 1. So, there LCM is their product i.e 134589

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/134589

Therefore, the GCF of Fractions 4622/493,3382/273 is 2/134589

Least Common Multiple of 493,273 with GCF Formula

Least Common Multiple of 493,273 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 493,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,273) = 1

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

GCF(493,273) x common factors =1 x 1 = 1

LCM(493,273) = ( 493 × 273 ) / 1

LCM(493,273) = 134589 / 1

LCM(493,273) = 134589


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 4622/493, 3382/273

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 4622/493, 3382/273?

Answer: GCF of Numerators as per given numbers 4622/493, 3382/273 is

GCF of Numerators i.e. for 4622,3382 is 2

LCM of denominators i.e. for 493,273 is 134589.

Thus, GCF of Fractions is 2/134589.Finally, GCF of Fractions for 4622/493, 3382/273 is 2/134589.