GCD of 453, 129, 30, 696 Calculator

Given Input numbers are 453, 129, 30, 696

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 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 453, 129, 30, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 129, 30, 696 is 3.

Therefore, GCD of numbers 453, 129, 30, 696 is 3

Given Input Data is 453, 129, 30, 696

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 129 is 3 x 43

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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, 129) = 19479

GCD(453, 129) = ( 453 x 129 ) / 19479

GCD(453, 129) = 58437 / 19479

GCD(453, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 696

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

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

GCD(3, 696) = 2088 / 696

GCD(3, 696) = 3

GCD of 453, 129, 30, 696 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 895, 47, 935
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• GCD of 114, 110, 70, 804

1. What is the GCD of 453, 129, 30, 696?

GCD of 453, 129, 30, 696 is 3

2. Where do I get the detailed procedure to find GCD of 453, 129, 30, 696?

You can find a detailed procedure to find GCD of 453, 129, 30, 696 on our page.

3. How to find GCD of 453, 129, 30, 696 on a calculator?

You can find the GCD of 453, 129, 30, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.