GCD of 59, 733, 608, 820 Calculator

Given Input numbers are 59, 733, 608, 820

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 59, 733, 608, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 733, 608, 820 is 1.

Therefore, GCD of numbers 59, 733, 608, 820 is 1

Given Input Data is 59, 733, 608, 820

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

Prime Factorization of 59 is 59

Prime Factorization of 733 is 733

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(59, 733) = 43247

GCD(59, 733) = ( 59 x 733 ) / 43247

GCD(59, 733) = 43247 / 43247

GCD(59, 733) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 59, 733, 608, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 408, 933, 927
• GCD of 78, 885, 921, 575
• GCD of 92, 837, 125, 977
• GCD of 57, 957, 906, 305
• GCD of 70, 478, 969, 377

1. What is the GCD of 59, 733, 608, 820?

GCD of 59, 733, 608, 820 is 1

2. Where do I get the detailed procedure to find GCD of 59, 733, 608, 820?

You can find a detailed procedure to find GCD of 59, 733, 608, 820 on our page.

3. How to find GCD of 59, 733, 608, 820 on a calculator?

You can find the GCD of 59, 733, 608, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.