GCD of 83, 475, 788, 465 Calculator

Given Input numbers are 83, 475, 788, 465

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

Divisors of 83

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

1, 83

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 465

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

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

Greatest Common Divisior

We found the divisors of 83, 475, 788, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 475, 788, 465 is 1.

Therefore, GCD of numbers 83, 475, 788, 465 is 1

Given Input Data is 83, 475, 788, 465

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

Prime Factorization of 83 is 83

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 465 is 3 x 5 x 31

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(83, 475) = 39425

GCD(83, 475) = ( 83 x 475 ) / 39425

GCD(83, 475) = 39425 / 39425

GCD(83, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 83, 475, 788, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 761, 576, 138
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• GCD of 20, 379, 513, 866

1. What is the GCD of 83, 475, 788, 465?

GCD of 83, 475, 788, 465 is 1

2. Where do I get the detailed procedure to find GCD of 83, 475, 788, 465?

You can find a detailed procedure to find GCD of 83, 475, 788, 465 on our page.

3. How to find GCD of 83, 475, 788, 465 on a calculator?

You can find the GCD of 83, 475, 788, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.