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GCD of 990, 243, 147, 115 Calculator

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


Online GCD Calculator is useful to find the GCD of 990, 243, 147, 115 quickly. Get the easiest ways to solve the greatest common divisor of 990, 243, 147, 115 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 243, 147, 115 with Factoring?

Given Input numbers are 990, 243, 147, 115

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 243 :

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

1, 3, 9, 27, 81, 243

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115


GCD of numbers is the greatest common divisor

So, the GCD (990, 243, 147, 115) = 1.

Find GCD of 990, 243, 147, 115 using Prime Factorization

Given numbers are 990, 243, 147, 115

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Prime factors of 147 are 3 x 7 x 7

Prime factors of 115 are 5 x 23

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

Steps to Calculate GCD of 990, 243, 147, 115 using LCM Formula

Given numbers are 990, 243, 147, 115

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

Apply this formula for all numbers.

Step1:

LCM(990, 243) = 26730

GCD(990, 243) = ( 990 x 243 ) / 26730

= 990 / 243

= 990


Step2:

LCM(9, 147) = 441

GCD(9, 147) = ( 9 x 147 ) / 441

= 9 / 147

= 9


Step3:

LCM(3, 115) = 345

GCD(3, 115) = ( 3 x 115 ) / 345

= 3 / 115

= 3


So, Greatest Common Divisor of 990, 243, 147, 115 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 243, 147, 115

Given numbers are 990, 243, 147, 115
The greatest common divisor of numbers 990, 243, 147, 115 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 243, 147, 115 is 1.

FAQs on GCD of 990, 243, 147, 115 Calculator

1. What is the GCD of 990, 243, 147, 115?

GCD of given numbers 990, 243, 147, 115 is 1


2. How to calculate the greatest common divisor of 990, 243, 147, 115?

We can find the highest common divisor of 990, 243, 147, 115 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 990, 243, 147, 115 i.e 1.


3. How can I use the GCD of 990, 243, 147, 115Calculator?

Out the numbers 990, 243, 147, 115 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.