GCD of 875, 120, 16 Calculator

Given Input numbers are 875, 120, 16

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

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 875, 120, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 120, 16 is 1.

Therefore, GCD of numbers 875, 120, 16 is 1

Given Input Data is 875, 120, 16

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(875, 120) = 21000

GCD(875, 120) = ( 875 x 120 ) / 21000

GCD(875, 120) = 105000 / 21000

GCD(875, 120) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 16

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

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

GCD(5, 16) = 80 / 80

GCD(5, 16) = 1

GCD of 875, 120, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 303, 22
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• GCD of 731, 709, 37
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1. What is the GCD of 875, 120, 16?

GCD of 875, 120, 16 is 1

2. Where do I get the detailed procedure to find GCD of 875, 120, 16?

You can find a detailed procedure to find GCD of 875, 120, 16 on our page.

3. How to find GCD of 875, 120, 16 on a calculator?

You can find the GCD of 875, 120, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.