GCD of 20, 956, 184, 707 Calculator

Given Input numbers are 20, 956, 184, 707

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 20, 956, 184, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 956, 184, 707 is 1.

Therefore, GCD of numbers 20, 956, 184, 707 is 1

Given Input Data is 20, 956, 184, 707

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 956 is 2 x 2 x 239

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 707 is 7 x 101

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, 956) = 4780

GCD(20, 956) = ( 20 x 956 ) / 4780

GCD(20, 956) = 19120 / 4780

GCD(20, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 184

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

LCM(4, 184) = 184

GCD(4, 184) = ( 4 x 184 ) / 184

GCD(4, 184) = 736 / 184

GCD(4, 184) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 707

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

LCM(4, 707) = 2828

GCD(4, 707) = ( 4 x 707 ) / 2828

GCD(4, 707) = 2828 / 2828

GCD(4, 707) = 1

GCD of 20, 956, 184, 707 is 1

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1. What is the GCD of 20, 956, 184, 707?

GCD of 20, 956, 184, 707 is 1

2. Where do I get the detailed procedure to find GCD of 20, 956, 184, 707?

You can find a detailed procedure to find GCD of 20, 956, 184, 707 on our page.

3. How to find GCD of 20, 956, 184, 707 on a calculator?

You can find the GCD of 20, 956, 184, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.