GCD of 37, 150, 528, 360 Calculator

Given Input numbers are 37, 150, 528, 360

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 37, 150, 528, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 150, 528, 360 is 1.

Therefore, GCD of numbers 37, 150, 528, 360 is 1

Given Input Data is 37, 150, 528, 360

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

Prime Factorization of 37 is 37

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 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, 150) = 5550

GCD(37, 150) = ( 37 x 150 ) / 5550

GCD(37, 150) = 5550 / 5550

GCD(37, 150) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 37, 150, 528, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 373, 400, 570
• GCD of 23, 747, 233, 571
• GCD of 42, 267, 695, 455
• GCD of 97, 209, 589, 145
• GCD of 83, 394, 354, 881

1. What is the GCD of 37, 150, 528, 360?

GCD of 37, 150, 528, 360 is 1

2. Where do I get the detailed procedure to find GCD of 37, 150, 528, 360?

You can find a detailed procedure to find GCD of 37, 150, 528, 360 on our page.

3. How to find GCD of 37, 150, 528, 360 on a calculator?

You can find the GCD of 37, 150, 528, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.