GCD of 423, 450, 417, 747 Calculator

Given Input numbers are 423, 450, 417, 747

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 423, 450, 417, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 450, 417, 747 is 3.

Therefore, GCD of numbers 423, 450, 417, 747 is 3

Given Input Data is 423, 450, 417, 747

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 417 is 3 x 139

Prime Factorization of 747 is 3 x 3 x 83

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(423, 450) = 21150

GCD(423, 450) = ( 423 x 450 ) / 21150

GCD(423, 450) = 190350 / 21150

GCD(423, 450) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 417

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(9, 417) = 1251

GCD(9, 417) = ( 9 x 417 ) / 1251

GCD(9, 417) = 3753 / 1251

GCD(9, 417) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 747

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

GCD(3, 747) = 2241 / 747

GCD(3, 747) = 3

GCD of 423, 450, 417, 747 is 3

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• GCD of 468, 219, 863, 756
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• GCD of 383, 323, 164, 199

1. What is the GCD of 423, 450, 417, 747?

GCD of 423, 450, 417, 747 is 3

2. Where do I get the detailed procedure to find GCD of 423, 450, 417, 747?

You can find a detailed procedure to find GCD of 423, 450, 417, 747 on our page.

3. How to find GCD of 423, 450, 417, 747 on a calculator?

You can find the GCD of 423, 450, 417, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.