GCD of 585, 240, 50, 372 Calculator

Given Input numbers are 585, 240, 50, 372

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 585, 240, 50, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 240, 50, 372 is 1.

Therefore, GCD of numbers 585, 240, 50, 372 is 1

Given Input Data is 585, 240, 50, 372

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(585, 240) = 9360

GCD(585, 240) = ( 585 x 240 ) / 9360

GCD(585, 240) = 140400 / 9360

GCD(585, 240) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 50

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

LCM(15, 50) = 150

GCD(15, 50) = ( 15 x 50 ) / 150

GCD(15, 50) = 750 / 150

GCD(15, 50) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 372

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

LCM(5, 372) = 1860

GCD(5, 372) = ( 5 x 372 ) / 1860

GCD(5, 372) = 1860 / 1860

GCD(5, 372) = 1

GCD of 585, 240, 50, 372 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 119, 44, 198
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• GCD of 850, 882, 14, 993
• GCD of 696, 953, 16, 988

1. What is the GCD of 585, 240, 50, 372?

GCD of 585, 240, 50, 372 is 1

2. Where do I get the detailed procedure to find GCD of 585, 240, 50, 372?

You can find a detailed procedure to find GCD of 585, 240, 50, 372 on our page.

3. How to find GCD of 585, 240, 50, 372 on a calculator?

You can find the GCD of 585, 240, 50, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.