GCD of 84, 984, 505, 909 Calculator

Given Input numbers are 84, 984, 505, 909

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 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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 84, 984, 505, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 984, 505, 909 is 1.

Therefore, GCD of numbers 84, 984, 505, 909 is 1

Given Input Data is 84, 984, 505, 909

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 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 505 is 5 x 101

Prime Factorization of 909 is 3 x 3 x 101

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, 984) = 6888

GCD(84, 984) = ( 84 x 984 ) / 6888

GCD(84, 984) = 82656 / 6888

GCD(84, 984) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 505

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

LCM(12, 505) = 6060

GCD(12, 505) = ( 12 x 505 ) / 6060

GCD(12, 505) = 6060 / 6060

GCD(12, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 84, 984, 505, 909 is 1

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• GCD of 39, 358, 285, 190

1. What is the GCD of 84, 984, 505, 909?

GCD of 84, 984, 505, 909 is 1

2. Where do I get the detailed procedure to find GCD of 84, 984, 505, 909?

You can find a detailed procedure to find GCD of 84, 984, 505, 909 on our page.

3. How to find GCD of 84, 984, 505, 909 on a calculator?

You can find the GCD of 84, 984, 505, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.