GCD of 153, 984, 444, 953 Calculator

Given Input numbers are 153, 984, 444, 953

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

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 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 153, 984, 444, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 984, 444, 953 is 1.

Therefore, GCD of numbers 153, 984, 444, 953 is 1

Given Input Data is 153, 984, 444, 953

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

Prime Factorization of 153 is 3 x 3 x 17

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 953 is 953

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(153, 984) = 50184

GCD(153, 984) = ( 153 x 984 ) / 50184

GCD(153, 984) = 150552 / 50184

GCD(153, 984) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 444

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

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

GCD(3, 444) = 1332 / 444

GCD(3, 444) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 953

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

LCM(3, 953) = 2859

GCD(3, 953) = ( 3 x 953 ) / 2859

GCD(3, 953) = 2859 / 2859

GCD(3, 953) = 1

GCD of 153, 984, 444, 953 is 1

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1. What is the GCD of 153, 984, 444, 953?

GCD of 153, 984, 444, 953 is 1

2. Where do I get the detailed procedure to find GCD of 153, 984, 444, 953?

You can find a detailed procedure to find GCD of 153, 984, 444, 953 on our page.

3. How to find GCD of 153, 984, 444, 953 on a calculator?

You can find the GCD of 153, 984, 444, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.