GCD of 543, 684, 37, 971 Calculator

Given Input numbers are 543, 684, 37, 971

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

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 543, 684, 37, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 684, 37, 971 is 1.

Therefore, GCD of numbers 543, 684, 37, 971 is 1

Given Input Data is 543, 684, 37, 971

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

Prime Factorization of 543 is 3 x 181

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

Prime Factorization of 37 is 37

Prime Factorization of 971 is 971

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(543, 684) = 123804

GCD(543, 684) = ( 543 x 684 ) / 123804

GCD(543, 684) = 371412 / 123804

GCD(543, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 543, 684, 37, 971 is 1

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1. What is the GCD of 543, 684, 37, 971?

GCD of 543, 684, 37, 971 is 1

2. Where do I get the detailed procedure to find GCD of 543, 684, 37, 971?

You can find a detailed procedure to find GCD of 543, 684, 37, 971 on our page.

3. How to find GCD of 543, 684, 37, 971 on a calculator?

You can find the GCD of 543, 684, 37, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.