GCD of 372, 441, 585 Calculator

Given Input numbers are 372, 441, 585

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

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

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

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

Greatest Common Divisior

We found the divisors of 372, 441, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 441, 585 is 3.

Therefore, GCD of numbers 372, 441, 585 is 3

Given Input Data is 372, 441, 585

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

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

Prime Factorization of 441 is 3 x 3 x 7 x 7

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(372, 441) = 54684

GCD(372, 441) = ( 372 x 441 ) / 54684

GCD(372, 441) = 164052 / 54684

GCD(372, 441) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 585

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

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

GCD(3, 585) = 1755 / 585

GCD(3, 585) = 3

GCD of 372, 441, 585 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 553, 507
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• GCD of 645, 585, 436
• GCD of 476, 949, 347
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1. What is the GCD of 372, 441, 585?

GCD of 372, 441, 585 is 3

2. Where do I get the detailed procedure to find GCD of 372, 441, 585?

You can find a detailed procedure to find GCD of 372, 441, 585 on our page.

3. How to find GCD of 372, 441, 585 on a calculator?

You can find the GCD of 372, 441, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.