GCD of 453, 483, 462, 429 Calculator

Given Input numbers are 453, 483, 462, 429

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

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 483

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

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 453, 483, 462, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 483, 462, 429 is 3.

Therefore, GCD of numbers 453, 483, 462, 429 is 3

Given Input Data is 453, 483, 462, 429

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 429 is 3 x 11 x 13

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(453, 483) = 72933

GCD(453, 483) = ( 453 x 483 ) / 72933

GCD(453, 483) = 218799 / 72933

GCD(453, 483) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 462

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

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

GCD(3, 462) = 1386 / 462

GCD(3, 462) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 429

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

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

GCD(3, 429) = 1287 / 429

GCD(3, 429) = 3

GCD of 453, 483, 462, 429 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 770, 306, 963
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• GCD of 247, 872, 686, 247

1. What is the GCD of 453, 483, 462, 429?

GCD of 453, 483, 462, 429 is 3

2. Where do I get the detailed procedure to find GCD of 453, 483, 462, 429?

You can find a detailed procedure to find GCD of 453, 483, 462, 429 on our page.

3. How to find GCD of 453, 483, 462, 429 on a calculator?

You can find the GCD of 453, 483, 462, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.