GCD of 638, 274, 407, 747 Calculator

Given Input numbers are 638, 274, 407, 747

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 638, 274, 407, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 274, 407, 747 is 1.

Therefore, GCD of numbers 638, 274, 407, 747 is 1

Given Input Data is 638, 274, 407, 747

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 274 is 2 x 137

Prime Factorization of 407 is 11 x 37

Prime Factorization of 747 is 3 x 3 x 83

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(638, 274) = 87406

GCD(638, 274) = ( 638 x 274 ) / 87406

GCD(638, 274) = 174812 / 87406

GCD(638, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 638, 274, 407, 747 is 1

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1. What is the GCD of 638, 274, 407, 747?

GCD of 638, 274, 407, 747 is 1

2. Where do I get the detailed procedure to find GCD of 638, 274, 407, 747?

You can find a detailed procedure to find GCD of 638, 274, 407, 747 on our page.

3. How to find GCD of 638, 274, 407, 747 on a calculator?

You can find the GCD of 638, 274, 407, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.