GCD of 337, 659, 72, 362 Calculator

Given Input numbers are 337, 659, 72, 362

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 337, 659, 72, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 659, 72, 362 is 1.

Therefore, GCD of numbers 337, 659, 72, 362 is 1

Given Input Data is 337, 659, 72, 362

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

Prime Factorization of 337 is 337

Prime Factorization of 659 is 659

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 362 is 2 x 181

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(337, 659) = 222083

GCD(337, 659) = ( 337 x 659 ) / 222083

GCD(337, 659) = 222083 / 222083

GCD(337, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 337, 659, 72, 362 is 1

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1. What is the GCD of 337, 659, 72, 362?

GCD of 337, 659, 72, 362 is 1

2. Where do I get the detailed procedure to find GCD of 337, 659, 72, 362?

You can find a detailed procedure to find GCD of 337, 659, 72, 362 on our page.

3. How to find GCD of 337, 659, 72, 362 on a calculator?

You can find the GCD of 337, 659, 72, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.