GCD of 20, 932, 960, 517 Calculator

Given Input numbers are 20, 932, 960, 517

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

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 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 20, 932, 960, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 932, 960, 517 is 1.

Therefore, GCD of numbers 20, 932, 960, 517 is 1

Given Input Data is 20, 932, 960, 517

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 932 is 2 x 2 x 233

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

Prime Factorization of 517 is 11 x 47

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(20, 932) = 4660

GCD(20, 932) = ( 20 x 932 ) / 4660

GCD(20, 932) = 18640 / 4660

GCD(20, 932) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 960

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

LCM(4, 960) = 960

GCD(4, 960) = ( 4 x 960 ) / 960

GCD(4, 960) = 3840 / 960

GCD(4, 960) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 517

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

LCM(4, 517) = 2068

GCD(4, 517) = ( 4 x 517 ) / 2068

GCD(4, 517) = 2068 / 2068

GCD(4, 517) = 1

GCD of 20, 932, 960, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 351, 980, 709
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• GCD of 45, 205, 334, 860
• GCD of 76, 435, 123, 536

1. What is the GCD of 20, 932, 960, 517?

GCD of 20, 932, 960, 517 is 1

2. Where do I get the detailed procedure to find GCD of 20, 932, 960, 517?

You can find a detailed procedure to find GCD of 20, 932, 960, 517 on our page.

3. How to find GCD of 20, 932, 960, 517 on a calculator?

You can find the GCD of 20, 932, 960, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.