GCD of 37, 725, 270, 365 Calculator

Given Input numbers are 37, 725, 270, 365

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 37, 725, 270, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 725, 270, 365 is 1.

Therefore, GCD of numbers 37, 725, 270, 365 is 1

Given Input Data is 37, 725, 270, 365

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

Prime Factorization of 37 is 37

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 365 is 5 x 73

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, 725) = 26825

GCD(37, 725) = ( 37 x 725 ) / 26825

GCD(37, 725) = 26825 / 26825

GCD(37, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 37, 725, 270, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 194, 185, 206
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• GCD of 20, 518, 591, 294
• GCD of 87, 417, 554, 747
• GCD of 11, 176, 103, 340

1. What is the GCD of 37, 725, 270, 365?

GCD of 37, 725, 270, 365 is 1

2. Where do I get the detailed procedure to find GCD of 37, 725, 270, 365?

You can find a detailed procedure to find GCD of 37, 725, 270, 365 on our page.

3. How to find GCD of 37, 725, 270, 365 on a calculator?

You can find the GCD of 37, 725, 270, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.