GCD of 398, 532, 726, 209 Calculator

Given Input numbers are 398, 532, 726, 209

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 398, 532, 726, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 532, 726, 209 is 1.

Therefore, GCD of numbers 398, 532, 726, 209 is 1

Given Input Data is 398, 532, 726, 209

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 209 is 11 x 19

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(398, 532) = 105868

GCD(398, 532) = ( 398 x 532 ) / 105868

GCD(398, 532) = 211736 / 105868

GCD(398, 532) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

GCD of 398, 532, 726, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 720, 327, 881
• GCD of 148, 725, 723, 278
• GCD of 317, 165, 415, 269
• GCD of 548, 492, 906, 567
• GCD of 328, 845, 814, 566

1. What is the GCD of 398, 532, 726, 209?

GCD of 398, 532, 726, 209 is 1

2. Where do I get the detailed procedure to find GCD of 398, 532, 726, 209?

You can find a detailed procedure to find GCD of 398, 532, 726, 209 on our page.

3. How to find GCD of 398, 532, 726, 209 on a calculator?

You can find the GCD of 398, 532, 726, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.