GCD of 408, 131, 83, 565 Calculator

Given Input numbers are 408, 131, 83, 565

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 83

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

1, 83

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 408, 131, 83, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 131, 83, 565 is 1.

Therefore, GCD of numbers 408, 131, 83, 565 is 1

Given Input Data is 408, 131, 83, 565

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 131 is 131

Prime Factorization of 83 is 83

Prime Factorization of 565 is 5 x 113

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(408, 131) = 53448

GCD(408, 131) = ( 408 x 131 ) / 53448

GCD(408, 131) = 53448 / 53448

GCD(408, 131) = 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 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 408, 131, 83, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 783, 39, 547
• GCD of 122, 681, 45, 517
• GCD of 719, 694, 88, 106
• GCD of 132, 812, 67, 671
• GCD of 898, 906, 16, 581

1. What is the GCD of 408, 131, 83, 565?

GCD of 408, 131, 83, 565 is 1

2. Where do I get the detailed procedure to find GCD of 408, 131, 83, 565?

You can find a detailed procedure to find GCD of 408, 131, 83, 565 on our page.

3. How to find GCD of 408, 131, 83, 565 on a calculator?

You can find the GCD of 408, 131, 83, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.