GCD of 456, 345, 585 Calculator

Given Input numbers are 456, 345, 585

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

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 456, 345, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 345, 585 is 3.

Therefore, GCD of numbers 456, 345, 585 is 3

Given Input Data is 456, 345, 585

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 345 is 3 x 5 x 23

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(456, 345) = 52440

GCD(456, 345) = ( 456 x 345 ) / 52440

GCD(456, 345) = 157320 / 52440

GCD(456, 345) = 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 456, 345, 585 is 3

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• GCD of 201, 453, 388
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1. What is the GCD of 456, 345, 585?

GCD of 456, 345, 585 is 3

2. Where do I get the detailed procedure to find GCD of 456, 345, 585?

You can find a detailed procedure to find GCD of 456, 345, 585 on our page.

3. How to find GCD of 456, 345, 585 on a calculator?

You can find the GCD of 456, 345, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.