GCD of 120, 585, 64, 725 Calculator

Given Input numbers are 120, 585, 64, 725

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

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

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 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 725

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

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 120, 585, 64, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 585, 64, 725 is 1.

Therefore, GCD of numbers 120, 585, 64, 725 is 1

Given Input Data is 120, 585, 64, 725

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 725 is 5 x 5 x 29

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(120, 585) = 4680

GCD(120, 585) = ( 120 x 585 ) / 4680

GCD(120, 585) = 70200 / 4680

GCD(120, 585) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 64

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

LCM(15, 64) = 960

GCD(15, 64) = ( 15 x 64 ) / 960

GCD(15, 64) = 960 / 960

GCD(15, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 120, 585, 64, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 462, 17, 112
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• GCD of 983, 338, 44, 592
• GCD of 520, 775, 35, 517

1. What is the GCD of 120, 585, 64, 725?

GCD of 120, 585, 64, 725 is 1

2. Where do I get the detailed procedure to find GCD of 120, 585, 64, 725?

You can find a detailed procedure to find GCD of 120, 585, 64, 725 on our page.

3. How to find GCD of 120, 585, 64, 725 on a calculator?

You can find the GCD of 120, 585, 64, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.