GCD of 37, 128, 255, 600 Calculator

Given Input numbers are 37, 128, 255, 600

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

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

Greatest Common Divisior

We found the divisors of 37, 128, 255, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 128, 255, 600 is 1.

Therefore, GCD of numbers 37, 128, 255, 600 is 1

Given Input Data is 37, 128, 255, 600

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

Prime Factorization of 37 is 37

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 255 is 3 x 5 x 17

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

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(37, 128) = 4736

GCD(37, 128) = ( 37 x 128 ) / 4736

GCD(37, 128) = 4736 / 4736

GCD(37, 128) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

Step3:

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

GCD of 37, 128, 255, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 811, 151, 237
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• GCD of 75, 729, 539, 154
• GCD of 96, 477, 100, 334
• GCD of 93, 588, 913, 231

1. What is the GCD of 37, 128, 255, 600?

GCD of 37, 128, 255, 600 is 1

2. Where do I get the detailed procedure to find GCD of 37, 128, 255, 600?

You can find a detailed procedure to find GCD of 37, 128, 255, 600 on our page.

3. How to find GCD of 37, 128, 255, 600 on a calculator?

You can find the GCD of 37, 128, 255, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.