GCD of 982, 324, 365, 450 Calculator

Given Input numbers are 982, 324, 365, 450

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 982, 324, 365, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 324, 365, 450 is 1.

Therefore, GCD of numbers 982, 324, 365, 450 is 1

Given Input Data is 982, 324, 365, 450

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

Prime Factorization of 982 is 2 x 491

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(982, 324) = 159084

GCD(982, 324) = ( 982 x 324 ) / 159084

GCD(982, 324) = 318168 / 159084

GCD(982, 324) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 982, 324, 365, 450 is 1

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• GCD of 284, 487, 249, 898
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1. What is the GCD of 982, 324, 365, 450?

GCD of 982, 324, 365, 450 is 1

2. Where do I get the detailed procedure to find GCD of 982, 324, 365, 450?

You can find a detailed procedure to find GCD of 982, 324, 365, 450 on our page.

3. How to find GCD of 982, 324, 365, 450 on a calculator?

You can find the GCD of 982, 324, 365, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.