GCD of 684, 541, 20, 132 Calculator

Given Input numbers are 684, 541, 20, 132

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 684, 541, 20, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 541, 20, 132 is 1.

Therefore, GCD of numbers 684, 541, 20, 132 is 1

Given Input Data is 684, 541, 20, 132

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 541 is 541

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(684, 541) = 370044

GCD(684, 541) = ( 684 x 541 ) / 370044

GCD(684, 541) = 370044 / 370044

GCD(684, 541) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 684, 541, 20, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 998, 41, 784
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• GCD of 358, 262, 64, 762

1. What is the GCD of 684, 541, 20, 132?

GCD of 684, 541, 20, 132 is 1

2. Where do I get the detailed procedure to find GCD of 684, 541, 20, 132?

You can find a detailed procedure to find GCD of 684, 541, 20, 132 on our page.

3. How to find GCD of 684, 541, 20, 132 on a calculator?

You can find the GCD of 684, 541, 20, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.