GCD of 314, 724, 507, 667 Calculator

Given Input numbers are 314, 724, 507, 667

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 314, 724, 507, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 724, 507, 667 is 1.

Therefore, GCD of numbers 314, 724, 507, 667 is 1

Given Input Data is 314, 724, 507, 667

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 667 is 23 x 29

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(314, 724) = 113668

GCD(314, 724) = ( 314 x 724 ) / 113668

GCD(314, 724) = 227336 / 113668

GCD(314, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 314, 724, 507, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 103, 856, 521
• GCD of 557, 395, 169, 776
• GCD of 755, 912, 815, 171
• GCD of 367, 368, 850, 203
• GCD of 290, 777, 274, 605

1. What is the GCD of 314, 724, 507, 667?

GCD of 314, 724, 507, 667 is 1

2. Where do I get the detailed procedure to find GCD of 314, 724, 507, 667?

You can find a detailed procedure to find GCD of 314, 724, 507, 667 on our page.

3. How to find GCD of 314, 724, 507, 667 on a calculator?

You can find the GCD of 314, 724, 507, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.