GCD of 984, 100, 53, 180 Calculator

Given Input numbers are 984, 100, 53, 180

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

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 984, 100, 53, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 100, 53, 180 is 1.

Therefore, GCD of numbers 984, 100, 53, 180 is 1

Given Input Data is 984, 100, 53, 180

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

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 53 is 53

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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(984, 100) = 24600

GCD(984, 100) = ( 984 x 100 ) / 24600

GCD(984, 100) = 98400 / 24600

GCD(984, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 984, 100, 53, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 529, 88, 293
• GCD of 251, 641, 28, 553
• GCD of 665, 845, 26, 376
• GCD of 703, 717, 35, 460
• GCD of 464, 313, 54, 867

1. What is the GCD of 984, 100, 53, 180?

GCD of 984, 100, 53, 180 is 1

2. Where do I get the detailed procedure to find GCD of 984, 100, 53, 180?

You can find a detailed procedure to find GCD of 984, 100, 53, 180 on our page.

3. How to find GCD of 984, 100, 53, 180 on a calculator?

You can find the GCD of 984, 100, 53, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.