GCD of 208, 135, 73, 565 Calculator

Given Input numbers are 208, 135, 73, 565

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

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 208, 135, 73, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 135, 73, 565 is 1.

Therefore, GCD of numbers 208, 135, 73, 565 is 1

Given Input Data is 208, 135, 73, 565

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 73 is 73

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(208, 135) = 28080

GCD(208, 135) = ( 208 x 135 ) / 28080

GCD(208, 135) = 28080 / 28080

GCD(208, 135) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 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 208, 135, 73, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 720, 71, 602
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• GCD of 846, 936, 19, 332
• GCD of 705, 846, 40, 645
• GCD of 684, 569, 39, 519

1. What is the GCD of 208, 135, 73, 565?

GCD of 208, 135, 73, 565 is 1

2. Where do I get the detailed procedure to find GCD of 208, 135, 73, 565?

You can find a detailed procedure to find GCD of 208, 135, 73, 565 on our page.

3. How to find GCD of 208, 135, 73, 565 on a calculator?

You can find the GCD of 208, 135, 73, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.