GCD of 408, 521, 693, 743 Calculator

Given Input numbers are 408, 521, 693, 743

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 408, 521, 693, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 521, 693, 743 is 1.

Therefore, GCD of numbers 408, 521, 693, 743 is 1

Given Input Data is 408, 521, 693, 743

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 521 is 521

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 743 is 743

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(408, 521) = 212568

GCD(408, 521) = ( 408 x 521 ) / 212568

GCD(408, 521) = 212568 / 212568

GCD(408, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 408, 521, 693, 743 is 1

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1. What is the GCD of 408, 521, 693, 743?

GCD of 408, 521, 693, 743 is 1

2. Where do I get the detailed procedure to find GCD of 408, 521, 693, 743?

You can find a detailed procedure to find GCD of 408, 521, 693, 743 on our page.

3. How to find GCD of 408, 521, 693, 743 on a calculator?

You can find the GCD of 408, 521, 693, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.