GCD of 138, 715, 600, 512 Calculator

Given Input numbers are 138, 715, 600, 512

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

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 138, 715, 600, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 715, 600, 512 is 1.

Therefore, GCD of numbers 138, 715, 600, 512 is 1

Given Input Data is 138, 715, 600, 512

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 715 is 5 x 11 x 13

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(138, 715) = 98670

GCD(138, 715) = ( 138 x 715 ) / 98670

GCD(138, 715) = 98670 / 98670

GCD(138, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 138, 715, 600, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 314, 879, 365
• GCD of 530, 665, 905, 150
• GCD of 628, 927, 222, 196
• GCD of 764, 930, 411, 482
• GCD of 663, 429, 533, 775

1. What is the GCD of 138, 715, 600, 512?

GCD of 138, 715, 600, 512 is 1

2. Where do I get the detailed procedure to find GCD of 138, 715, 600, 512?

You can find a detailed procedure to find GCD of 138, 715, 600, 512 on our page.

3. How to find GCD of 138, 715, 600, 512 on a calculator?

You can find the GCD of 138, 715, 600, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.