GCD of 465, 629, 83, 828 Calculator

Given Input numbers are 465, 629, 83, 828

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 465, 629, 83, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 629, 83, 828 is 1.

Therefore, GCD of numbers 465, 629, 83, 828 is 1

Given Input Data is 465, 629, 83, 828

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 629 is 17 x 37

Prime Factorization of 83 is 83

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(465, 629) = 292485

GCD(465, 629) = ( 465 x 629 ) / 292485

GCD(465, 629) = 292485 / 292485

GCD(465, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 465, 629, 83, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 240, 97, 333
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• GCD of 479, 799, 82, 176
• GCD of 434, 660, 11, 128

1. What is the GCD of 465, 629, 83, 828?

GCD of 465, 629, 83, 828 is 1

2. Where do I get the detailed procedure to find GCD of 465, 629, 83, 828?

You can find a detailed procedure to find GCD of 465, 629, 83, 828 on our page.

3. How to find GCD of 465, 629, 83, 828 on a calculator?

You can find the GCD of 465, 629, 83, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.