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GCD of 180, 355, 485, 106 Calculator

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


Online GCD Calculator is useful to find the GCD of 180, 355, 485, 106 quickly. Get the easiest ways to solve the greatest common divisor of 180, 355, 485, 106 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 355, 485, 106 with Factoring?

Given Input numbers are 180, 355, 485, 106

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 485 :

The positive integer divisors of 485 that completely divides 485 are.

1, 5, 97, 485

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106


GCD of numbers is the greatest common divisor

So, the GCD (180, 355, 485, 106) = 1.

Find GCD of 180, 355, 485, 106 using Prime Factorization

Given numbers are 180, 355, 485, 106

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 355 are 5 x 71

Prime factors of 485 are 5 x 97

Prime factors of 106 are 2 x 53

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

Steps to Calculate GCD of 180, 355, 485, 106 using LCM Formula

Given numbers are 180, 355, 485, 106

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

Apply this formula for all numbers.

Step1:

LCM(180, 355) = 12780

GCD(180, 355) = ( 180 x 355 ) / 12780

= 180 / 355

= 180


Step2:

LCM(5, 485) = 485

GCD(5, 485) = ( 5 x 485 ) / 485

= 5 / 485

= 5


Step3:

LCM(5, 106) = 530

GCD(5, 106) = ( 5 x 106 ) / 530

= 5 / 106

= 5


So, Greatest Common Divisor of 180, 355, 485, 106 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 355, 485, 106

Given numbers are 180, 355, 485, 106
The greatest common divisor of numbers 180, 355, 485, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 355, 485, 106 is 1.

FAQs on GCD of 180, 355, 485, 106 Calculator

1. What is the GCD of 180, 355, 485, 106?

GCD of given numbers 180, 355, 485, 106 is 1


2. How to calculate the greatest common divisor of 180, 355, 485, 106?

We can find the highest common divisor of 180, 355, 485, 106 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 180, 355, 485, 106 i.e 1.


3. How can I use the GCD of 180, 355, 485, 106Calculator?

Out the numbers 180, 355, 485, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.