GCD of 145, 656, 966, 432 Calculator

Given Input numbers are 145, 656, 966, 432

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 145, 656, 966, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 656, 966, 432 is 1.

Therefore, GCD of numbers 145, 656, 966, 432 is 1

Given Input Data is 145, 656, 966, 432

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

Prime Factorization of 145 is 5 x 29

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(145, 656) = 95120

GCD(145, 656) = ( 145 x 656 ) / 95120

GCD(145, 656) = 95120 / 95120

GCD(145, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 145, 656, 966, 432 is 1

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1. What is the GCD of 145, 656, 966, 432?

GCD of 145, 656, 966, 432 is 1

2. Where do I get the detailed procedure to find GCD of 145, 656, 966, 432?

You can find a detailed procedure to find GCD of 145, 656, 966, 432 on our page.

3. How to find GCD of 145, 656, 966, 432 on a calculator?

You can find the GCD of 145, 656, 966, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.