GCD of 407, 574, 14, 690 Calculator

Given Input numbers are 407, 574, 14, 690

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

Divisors of 407

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

1, 11, 37, 407

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 407, 574, 14, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 574, 14, 690 is 1.

Therefore, GCD of numbers 407, 574, 14, 690 is 1

Given Input Data is 407, 574, 14, 690

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 14 is 2 x 7

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(407, 574) = 233618

GCD(407, 574) = ( 407 x 574 ) / 233618

GCD(407, 574) = 233618 / 233618

GCD(407, 574) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 407, 574, 14, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 554, 11, 606
• GCD of 667, 637, 62, 261
• GCD of 730, 499, 15, 504
• GCD of 493, 758, 55, 948
• GCD of 406, 515, 73, 621

1. What is the GCD of 407, 574, 14, 690?

GCD of 407, 574, 14, 690 is 1

2. Where do I get the detailed procedure to find GCD of 407, 574, 14, 690?

You can find a detailed procedure to find GCD of 407, 574, 14, 690 on our page.

3. How to find GCD of 407, 574, 14, 690 on a calculator?

You can find the GCD of 407, 574, 14, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.