GCD of 21, 497, 591, 745 Calculator

Given Input numbers are 21, 497, 591, 745

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 21, 497, 591, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 497, 591, 745 is 1.

Therefore, GCD of numbers 21, 497, 591, 745 is 1

Given Input Data is 21, 497, 591, 745

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 497 is 7 x 71

Prime Factorization of 591 is 3 x 197

Prime Factorization of 745 is 5 x 149

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(21, 497) = 1491

GCD(21, 497) = ( 21 x 497 ) / 1491

GCD(21, 497) = 10437 / 1491

GCD(21, 497) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 591

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

LCM(7, 591) = 4137

GCD(7, 591) = ( 7 x 591 ) / 4137

GCD(7, 591) = 4137 / 4137

GCD(7, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 21, 497, 591, 745 is 1

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1. What is the GCD of 21, 497, 591, 745?

GCD of 21, 497, 591, 745 is 1

2. Where do I get the detailed procedure to find GCD of 21, 497, 591, 745?

You can find a detailed procedure to find GCD of 21, 497, 591, 745 on our page.

3. How to find GCD of 21, 497, 591, 745 on a calculator?

You can find the GCD of 21, 497, 591, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.