GCD of 84, 324, 411, 967 Calculator

Given Input numbers are 84, 324, 411, 967

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 84, 324, 411, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 324, 411, 967 is 1.

Therefore, GCD of numbers 84, 324, 411, 967 is 1

Given Input Data is 84, 324, 411, 967

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

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

Prime Factorization of 411 is 3 x 137

Prime Factorization of 967 is 967

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(84, 324) = 2268

GCD(84, 324) = ( 84 x 324 ) / 2268

GCD(84, 324) = 27216 / 2268

GCD(84, 324) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 411

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

LCM(12, 411) = 1644

GCD(12, 411) = ( 12 x 411 ) / 1644

GCD(12, 411) = 4932 / 1644

GCD(12, 411) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 967

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

LCM(3, 967) = 2901

GCD(3, 967) = ( 3 x 967 ) / 2901

GCD(3, 967) = 2901 / 2901

GCD(3, 967) = 1

GCD of 84, 324, 411, 967 is 1

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1. What is the GCD of 84, 324, 411, 967?

GCD of 84, 324, 411, 967 is 1

2. Where do I get the detailed procedure to find GCD of 84, 324, 411, 967?

You can find a detailed procedure to find GCD of 84, 324, 411, 967 on our page.

3. How to find GCD of 84, 324, 411, 967 on a calculator?

You can find the GCD of 84, 324, 411, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.