LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 900, 396, 181, 243 Calculator

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


Online GCD Calculator is useful to find the GCD of 900, 396, 181, 243 quickly. Get the easiest ways to solve the greatest common divisor of 900, 396, 181, 243 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 396, 181, 243 with Factoring?

Given Input numbers are 900, 396, 181, 243

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 181 :

The positive integer divisors of 181 that completely divides 181 are.

1, 181

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243


GCD of numbers is the greatest common divisor

So, the GCD (900, 396, 181, 243) = 1.

Find GCD of 900, 396, 181, 243 using Prime Factorization

Given numbers are 900, 396, 181, 243

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 181 are 181

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 900, 396, 181, 243 using LCM Formula

Given numbers are 900, 396, 181, 243

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

Apply this formula for all numbers.

Step1:

LCM(900, 396) = 9900

GCD(900, 396) = ( 900 x 396 ) / 9900

= 900 / 396

= 900


Step2:

LCM(36, 181) = 6516

GCD(36, 181) = ( 36 x 181 ) / 6516

= 36 / 181

= 36


Step3:

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

= 1 / 243

= 1


So, Greatest Common Divisor of 900, 396, 181, 243 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 396, 181, 243

Given numbers are 900, 396, 181, 243
The greatest common divisor of numbers 900, 396, 181, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 396, 181, 243 is 1.

FAQs on GCD of 900, 396, 181, 243 Calculator

1. What is the GCD of 900, 396, 181, 243?

GCD of given numbers 900, 396, 181, 243 is 1


2. How to calculate the greatest common divisor of 900, 396, 181, 243?

We can find the highest common divisor of 900, 396, 181, 243 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 900, 396, 181, 243 i.e 1.


3. How can I use the GCD of 900, 396, 181, 243Calculator?

Out the numbers 900, 396, 181, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.