GCD of 974, 145, 324, 845 Calculator

Given Input numbers are 974, 145, 324, 845

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 145

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

1, 5, 29, 145

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 974, 145, 324, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 145, 324, 845 is 1.

Therefore, GCD of numbers 974, 145, 324, 845 is 1

Given Input Data is 974, 145, 324, 845

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 145 is 5 x 29

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 845 is 5 x 13 x 13

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(974, 145) = 141230

GCD(974, 145) = ( 974 x 145 ) / 141230

GCD(974, 145) = 141230 / 141230

GCD(974, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 845

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

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

GCD(1, 845) = 845 / 845

GCD(1, 845) = 1

GCD of 974, 145, 324, 845 is 1

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1. What is the GCD of 974, 145, 324, 845?

GCD of 974, 145, 324, 845 is 1

2. Where do I get the detailed procedure to find GCD of 974, 145, 324, 845?

You can find a detailed procedure to find GCD of 974, 145, 324, 845 on our page.

3. How to find GCD of 974, 145, 324, 845 on a calculator?

You can find the GCD of 974, 145, 324, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.