Greatest Common Factor of 483/84, 409/8200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/84, 409/8200

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 483/84,409/8200

Given fractions are 483/84,409/8200

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 483,409

Greatest Common Factor of Numerators i.e. GCF of 483,409 is 1 .

LCM of Denominators means LCM of 84,8200 as per the given fractions.

LCM of 84,8200 is 172200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,409

GCF of Fractions 483/84,409/8200 is 1/172200

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 483,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,409 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 483,409 . The biggest common factor number is the GCF number.
So the greatest common factor 483,409 is 1.

Lets's calculate LCM of 84,8200

2 84, 8200
2 42, 4100
21, 2050

∴ So the LCM of the given numbers is 2 x 2 x 21 x 2050 = 172200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172200

Therefore, the GCF of Fractions 483/84,409/8200 is 1/172200

Least Common Multiple of 84,8200 with GCF Formula

Least Common Multiple of 84,8200 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 84,8200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,8200) = 4

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

GCF(84,8200) x common factors =4 x 1 = 4

LCM(84,8200) = ( 84 × 8200 ) / 4

LCM(84,8200) = 688800 / 4

LCM(84,8200) = 172200


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 483/84, 409/8200

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 483/84, 409/8200?

Answer: GCF of Numerators as per given numbers 483/84, 409/8200 is

GCF of Numerators i.e. for 483,409 is 1

LCM of denominators i.e. for 84,8200 is 172200.

Thus, GCF of Fractions is 1/172200.Finally, GCF of Fractions for 483/84, 409/8200 is 1/172200.