GCD of 354, 646, 72, 427 Calculator

Given Input numbers are 354, 646, 72, 427

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 354, 646, 72, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 646, 72, 427 is 1.

Therefore, GCD of numbers 354, 646, 72, 427 is 1

Given Input Data is 354, 646, 72, 427

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 646 is 2 x 17 x 19

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

Prime Factorization of 427 is 7 x 61

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(354, 646) = 114342

GCD(354, 646) = ( 354 x 646 ) / 114342

GCD(354, 646) = 228684 / 114342

GCD(354, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 427

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

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

GCD(2, 427) = 854 / 854

GCD(2, 427) = 1

GCD of 354, 646, 72, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 839, 58, 833
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1. What is the GCD of 354, 646, 72, 427?

GCD of 354, 646, 72, 427 is 1

2. Where do I get the detailed procedure to find GCD of 354, 646, 72, 427?

You can find a detailed procedure to find GCD of 354, 646, 72, 427 on our page.

3. How to find GCD of 354, 646, 72, 427 on a calculator?

You can find the GCD of 354, 646, 72, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.