GCD of 360, 179, 70, 256 Calculator

Given Input numbers are 360, 179, 70, 256

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 360, 179, 70, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 179, 70, 256 is 1.

Therefore, GCD of numbers 360, 179, 70, 256 is 1

Given Input Data is 360, 179, 70, 256

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 179 is 179

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(360, 179) = 64440

GCD(360, 179) = ( 360 x 179 ) / 64440

GCD(360, 179) = 64440 / 64440

GCD(360, 179) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 360, 179, 70, 256 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 585, 46, 350
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• GCD of 693, 571, 89, 132

1. What is the GCD of 360, 179, 70, 256?

GCD of 360, 179, 70, 256 is 1

2. Where do I get the detailed procedure to find GCD of 360, 179, 70, 256?

You can find a detailed procedure to find GCD of 360, 179, 70, 256 on our page.

3. How to find GCD of 360, 179, 70, 256 on a calculator?

You can find the GCD of 360, 179, 70, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.