GCD of 499, 543, 21, 940 Calculator

Given Input numbers are 499, 543, 21, 940

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 543

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

1, 3, 181, 543

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 499, 543, 21, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 543, 21, 940 is 1.

Therefore, GCD of numbers 499, 543, 21, 940 is 1

Given Input Data is 499, 543, 21, 940

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

Prime Factorization of 499 is 499

Prime Factorization of 543 is 3 x 181

Prime Factorization of 21 is 3 x 7

Prime Factorization of 940 is 2 x 2 x 5 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(499, 543) = 270957

GCD(499, 543) = ( 499 x 543 ) / 270957

GCD(499, 543) = 270957 / 270957

GCD(499, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 499, 543, 21, 940 is 1

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1. What is the GCD of 499, 543, 21, 940?

GCD of 499, 543, 21, 940 is 1

2. Where do I get the detailed procedure to find GCD of 499, 543, 21, 940?

You can find a detailed procedure to find GCD of 499, 543, 21, 940 on our page.

3. How to find GCD of 499, 543, 21, 940 on a calculator?

You can find the GCD of 499, 543, 21, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.