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GCD of 855, 164, 984 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 855, 164, 984 quickly. Get the easiest ways to solve the greatest common divisor of 855, 164, 984 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 855, 164, 984 with Factoring?

Given Input numbers are 855, 164, 984

In the factoring method, we have to find the divisors of all numbers

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984


GCD of numbers is the greatest common divisor

So, the GCD (855, 164, 984) = 1.

Find GCD of 855, 164, 984 using Prime Factorization

Given numbers are 855, 164, 984

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 164 are 2 x 2 x 41

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 855, 164, 984 using LCM Formula

Given numbers are 855, 164, 984

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(855, 164) = 140220

GCD(855, 164) = ( 855 x 164 ) / 140220

= 855 / 164

= 855


Step2:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1


So, Greatest Common Divisor of 855, 164, 984 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 855, 164, 984

Given numbers are 855, 164, 984
The greatest common divisor of numbers 855, 164, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 164, 984 is 1.

FAQs on GCD of 855, 164, 984 Calculator

1. What is the GCD of 855, 164, 984?

GCD of given numbers 855, 164, 984 is 1


2. How to calculate the greatest common divisor of 855, 164, 984?

We can find the highest common divisor of 855, 164, 984 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 855, 164, 984 i.e 1.


3. How can I use the GCD of 855, 164, 984Calculator?

Out the numbers 855, 164, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.