GCD of 52, 899, 108, 120 Calculator

Given Input numbers are 52, 899, 108, 120

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 52, 899, 108, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 899, 108, 120 is 1.

Therefore, GCD of numbers 52, 899, 108, 120 is 1

Given Input Data is 52, 899, 108, 120

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 899 is 29 x 31

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(52, 899) = 46748

GCD(52, 899) = ( 52 x 899 ) / 46748

GCD(52, 899) = 46748 / 46748

GCD(52, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 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 52, 899, 108, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 671, 534, 408
• GCD of 52, 431, 914, 399
• GCD of 67, 219, 933, 231
• GCD of 25, 880, 537, 676
• GCD of 12, 681, 601, 130

1. What is the GCD of 52, 899, 108, 120?

GCD of 52, 899, 108, 120 is 1

2. Where do I get the detailed procedure to find GCD of 52, 899, 108, 120?

You can find a detailed procedure to find GCD of 52, 899, 108, 120 on our page.

3. How to find GCD of 52, 899, 108, 120 on a calculator?

You can find the GCD of 52, 899, 108, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.