GCD of 20, 108, 711, 932 Calculator

Given Input numbers are 20, 108, 711, 932

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 932

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

1, 2, 4, 233, 466, 932

Greatest Common Divisior

We found the divisors of 20, 108, 711, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 108, 711, 932 is 1.

Therefore, GCD of numbers 20, 108, 711, 932 is 1

Given Input Data is 20, 108, 711, 932

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 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 932 is 2 x 2 x 233

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, 108) = 540

GCD(20, 108) = ( 20 x 108 ) / 540

GCD(20, 108) = 2160 / 540

GCD(20, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 711

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

LCM(4, 711) = 2844

GCD(4, 711) = ( 4 x 711 ) / 2844

GCD(4, 711) = 2844 / 2844

GCD(4, 711) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 932

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

LCM(1, 932) = 932

GCD(1, 932) = ( 1 x 932 ) / 932

GCD(1, 932) = 932 / 932

GCD(1, 932) = 1

GCD of 20, 108, 711, 932 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 910, 141, 265
• GCD of 71, 782, 197, 501
• GCD of 41, 904, 538, 389
• GCD of 42, 830, 779, 879
• GCD of 18, 918, 715, 784

1. What is the GCD of 20, 108, 711, 932?

GCD of 20, 108, 711, 932 is 1

2. Where do I get the detailed procedure to find GCD of 20, 108, 711, 932?

You can find a detailed procedure to find GCD of 20, 108, 711, 932 on our page.

3. How to find GCD of 20, 108, 711, 932 on a calculator?

You can find the GCD of 20, 108, 711, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.