GCD of 31, 441, 201, 120 Calculator

Given Input numbers are 31, 441, 201, 120

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 31, 441, 201, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 441, 201, 120 is 1.

Therefore, GCD of numbers 31, 441, 201, 120 is 1

Given Input Data is 31, 441, 201, 120

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

Prime Factorization of 31 is 31

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 201 is 3 x 67

Prime Factorization of 120 is 2 x 2 x 2 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(31, 441) = 13671

GCD(31, 441) = ( 31 x 441 ) / 13671

GCD(31, 441) = 13671 / 13671

GCD(31, 441) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 31, 441, 201, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 307, 251, 523
• GCD of 27, 828, 261, 241
• GCD of 28, 282, 815, 816
• GCD of 96, 666, 678, 485
• GCD of 78, 903, 442, 480

1. What is the GCD of 31, 441, 201, 120?

GCD of 31, 441, 201, 120 is 1

2. Where do I get the detailed procedure to find GCD of 31, 441, 201, 120?

You can find a detailed procedure to find GCD of 31, 441, 201, 120 on our page.

3. How to find GCD of 31, 441, 201, 120 on a calculator?

You can find the GCD of 31, 441, 201, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.