GCD of 508, 662, 726, 229 Calculator

Given Input numbers are 508, 662, 726, 229

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

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 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 508, 662, 726, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 662, 726, 229 is 1.

Therefore, GCD of numbers 508, 662, 726, 229 is 1

Given Input Data is 508, 662, 726, 229

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 662 is 2 x 331

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

Prime Factorization of 229 is 229

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(508, 662) = 168148

GCD(508, 662) = ( 508 x 662 ) / 168148

GCD(508, 662) = 336296 / 168148

GCD(508, 662) = 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 229

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

LCM(2, 229) = 458

GCD(2, 229) = ( 2 x 229 ) / 458

GCD(2, 229) = 458 / 458

GCD(2, 229) = 1

GCD of 508, 662, 726, 229 is 1

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1. What is the GCD of 508, 662, 726, 229?

GCD of 508, 662, 726, 229 is 1

2. Where do I get the detailed procedure to find GCD of 508, 662, 726, 229?

You can find a detailed procedure to find GCD of 508, 662, 726, 229 on our page.

3. How to find GCD of 508, 662, 726, 229 on a calculator?

You can find the GCD of 508, 662, 726, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.