GCD of 960, 464, 217, 180 Calculator

Given Input numbers are 960, 464, 217, 180

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 960, 464, 217, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 464, 217, 180 is 1.

Therefore, GCD of numbers 960, 464, 217, 180 is 1

Given Input Data is 960, 464, 217, 180

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 217 is 7 x 31

Prime Factorization of 180 is 2 x 2 x 3 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(960, 464) = 27840

GCD(960, 464) = ( 960 x 464 ) / 27840

GCD(960, 464) = 445440 / 27840

GCD(960, 464) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 217

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

LCM(16, 217) = 3472

GCD(16, 217) = ( 16 x 217 ) / 3472

GCD(16, 217) = 3472 / 3472

GCD(16, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 960, 464, 217, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 276, 129, 337
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• GCD of 463, 994, 670, 279

1. What is the GCD of 960, 464, 217, 180?

GCD of 960, 464, 217, 180 is 1

2. Where do I get the detailed procedure to find GCD of 960, 464, 217, 180?

You can find a detailed procedure to find GCD of 960, 464, 217, 180 on our page.

3. How to find GCD of 960, 464, 217, 180 on a calculator?

You can find the GCD of 960, 464, 217, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.