GCD of 409, 964, 84 Calculator

Given Input numbers are 409, 964, 84

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

Divisors of 409

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

1, 409

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

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

Greatest Common Divisior

We found the divisors of 409, 964, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 964, 84 is 1.

Therefore, GCD of numbers 409, 964, 84 is 1

Given Input Data is 409, 964, 84

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

Prime Factorization of 409 is 409

Prime Factorization of 964 is 2 x 2 x 241

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

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(409, 964) = 394276

GCD(409, 964) = ( 409 x 964 ) / 394276

GCD(409, 964) = 394276 / 394276

GCD(409, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

GCD of 409, 964, 84 is 1

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1. What is the GCD of 409, 964, 84?

GCD of 409, 964, 84 is 1

2. Where do I get the detailed procedure to find GCD of 409, 964, 84?

You can find a detailed procedure to find GCD of 409, 964, 84 on our page.

3. How to find GCD of 409, 964, 84 on a calculator?

You can find the GCD of 409, 964, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.