GCD of 120, 853, 164, 327 Calculator

Given Input numbers are 120, 853, 164, 327

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

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 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 120, 853, 164, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 853, 164, 327 is 1.

Therefore, GCD of numbers 120, 853, 164, 327 is 1

Given Input Data is 120, 853, 164, 327

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

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

Prime Factorization of 853 is 853

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 327 is 3 x 109

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(120, 853) = 102360

GCD(120, 853) = ( 120 x 853 ) / 102360

GCD(120, 853) = 102360 / 102360

GCD(120, 853) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 327

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

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

GCD(1, 327) = 327 / 327

GCD(1, 327) = 1

GCD of 120, 853, 164, 327 is 1

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1. What is the GCD of 120, 853, 164, 327?

GCD of 120, 853, 164, 327 is 1

2. Where do I get the detailed procedure to find GCD of 120, 853, 164, 327?

You can find a detailed procedure to find GCD of 120, 853, 164, 327 on our page.

3. How to find GCD of 120, 853, 164, 327 on a calculator?

You can find the GCD of 120, 853, 164, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.