GCD of 724, 338, 607, 566 Calculator

Given Input numbers are 724, 338, 607, 566

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 724, 338, 607, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 338, 607, 566 is 1.

Therefore, GCD of numbers 724, 338, 607, 566 is 1

Given Input Data is 724, 338, 607, 566

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 607 is 607

Prime Factorization of 566 is 2 x 283

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(724, 338) = 122356

GCD(724, 338) = ( 724 x 338 ) / 122356

GCD(724, 338) = 244712 / 122356

GCD(724, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 607

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

LCM(2, 607) = 1214

GCD(2, 607) = ( 2 x 607 ) / 1214

GCD(2, 607) = 1214 / 1214

GCD(2, 607) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 724, 338, 607, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 956, 753, 859
• GCD of 332, 315, 381, 124
• GCD of 836, 653, 773, 883
• GCD of 487, 830, 180, 448
• GCD of 899, 508, 289, 676

1. What is the GCD of 724, 338, 607, 566?

GCD of 724, 338, 607, 566 is 1

2. Where do I get the detailed procedure to find GCD of 724, 338, 607, 566?

You can find a detailed procedure to find GCD of 724, 338, 607, 566 on our page.

3. How to find GCD of 724, 338, 607, 566 on a calculator?

You can find the GCD of 724, 338, 607, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.