GCD of 156, 409, 983, 745 Calculator

Given Input numbers are 156, 409, 983, 745

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 156, 409, 983, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 409, 983, 745 is 1.

Therefore, GCD of numbers 156, 409, 983, 745 is 1

Given Input Data is 156, 409, 983, 745

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 409 is 409

Prime Factorization of 983 is 983

Prime Factorization of 745 is 5 x 149

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(156, 409) = 63804

GCD(156, 409) = ( 156 x 409 ) / 63804

GCD(156, 409) = 63804 / 63804

GCD(156, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 156, 409, 983, 745 is 1

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1. What is the GCD of 156, 409, 983, 745?

GCD of 156, 409, 983, 745 is 1

2. Where do I get the detailed procedure to find GCD of 156, 409, 983, 745?

You can find a detailed procedure to find GCD of 156, 409, 983, 745 on our page.

3. How to find GCD of 156, 409, 983, 745 on a calculator?

You can find the GCD of 156, 409, 983, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.