GCD of 64, 270, 585, 120 Calculator

Given Input numbers are 64, 270, 585, 120

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

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 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 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 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

Greatest Common Divisior

We found the divisors of 64, 270, 585, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 270, 585, 120 is 1.

Therefore, GCD of numbers 64, 270, 585, 120 is 1

Given Input Data is 64, 270, 585, 120

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

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

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

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

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

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(64, 270) = 8640

GCD(64, 270) = ( 64 x 270 ) / 8640

GCD(64, 270) = 17280 / 8640

GCD(64, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 64, 270, 585, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 379, 189, 962
• GCD of 40, 772, 259, 257
• GCD of 54, 934, 847, 210
• GCD of 32, 577, 438, 301
• GCD of 29, 749, 255, 866

1. What is the GCD of 64, 270, 585, 120?

GCD of 64, 270, 585, 120 is 1

2. Where do I get the detailed procedure to find GCD of 64, 270, 585, 120?

You can find a detailed procedure to find GCD of 64, 270, 585, 120 on our page.

3. How to find GCD of 64, 270, 585, 120 on a calculator?

You can find the GCD of 64, 270, 585, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.