GCD of 147, 216, 656, 397 Calculator

Given Input numbers are 147, 216, 656, 397

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 147, 216, 656, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 216, 656, 397 is 1.

Therefore, GCD of numbers 147, 216, 656, 397 is 1

Given Input Data is 147, 216, 656, 397

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 397 is 397

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(147, 216) = 10584

GCD(147, 216) = ( 147 x 216 ) / 10584

GCD(147, 216) = 31752 / 10584

GCD(147, 216) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 656

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

LCM(3, 656) = 1968

GCD(3, 656) = ( 3 x 656 ) / 1968

GCD(3, 656) = 1968 / 1968

GCD(3, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 147, 216, 656, 397 is 1

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1. What is the GCD of 147, 216, 656, 397?

GCD of 147, 216, 656, 397 is 1

2. Where do I get the detailed procedure to find GCD of 147, 216, 656, 397?

You can find a detailed procedure to find GCD of 147, 216, 656, 397 on our page.

3. How to find GCD of 147, 216, 656, 397 on a calculator?

You can find the GCD of 147, 216, 656, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.