GCD of 369, 455, 71, 984 Calculator

Given Input numbers are 369, 455, 71, 984

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 369, 455, 71, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 455, 71, 984 is 1.

Therefore, GCD of numbers 369, 455, 71, 984 is 1

Given Input Data is 369, 455, 71, 984

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 71 is 71

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(369, 455) = 167895

GCD(369, 455) = ( 369 x 455 ) / 167895

GCD(369, 455) = 167895 / 167895

GCD(369, 455) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 369, 455, 71, 984 is 1

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1. What is the GCD of 369, 455, 71, 984?

GCD of 369, 455, 71, 984 is 1

2. Where do I get the detailed procedure to find GCD of 369, 455, 71, 984?

You can find a detailed procedure to find GCD of 369, 455, 71, 984 on our page.

3. How to find GCD of 369, 455, 71, 984 on a calculator?

You can find the GCD of 369, 455, 71, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.