GCD of 58, 138, 600, 806 Calculator

Given Input numbers are 58, 138, 600, 806

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 58, 138, 600, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 138, 600, 806 is 2.

Therefore, GCD of numbers 58, 138, 600, 806 is 2

Given Input Data is 58, 138, 600, 806

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 806 is 2 x 13 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(58, 138) = 4002

GCD(58, 138) = ( 58 x 138 ) / 4002

GCD(58, 138) = 8004 / 4002

GCD(58, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

GCD of 58, 138, 600, 806 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 746, 156, 342
• GCD of 49, 728, 232, 827
• GCD of 64, 648, 658, 801
• GCD of 23, 124, 687, 710
• GCD of 32, 387, 253, 437

1. What is the GCD of 58, 138, 600, 806?

GCD of 58, 138, 600, 806 is 2

2. Where do I get the detailed procedure to find GCD of 58, 138, 600, 806?

You can find a detailed procedure to find GCD of 58, 138, 600, 806 on our page.

3. How to find GCD of 58, 138, 600, 806 on a calculator?

You can find the GCD of 58, 138, 600, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.