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GCD of 990, 303, 374, 390 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, 303, 374, 390 quickly. Get the easiest ways to solve the greatest common divisor of 990, 303, 374, 390 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 303, 374, 390 with Factoring?

Given Input numbers are 990, 303, 374, 390

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390


GCD of numbers is the greatest common divisor

So, the GCD (990, 303, 374, 390) = 1.

Find GCD of 990, 303, 374, 390 using Prime Factorization

Given numbers are 990, 303, 374, 390

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 303 are 3 x 101

Prime factors of 374 are 2 x 11 x 17

Prime factors of 390 are 2 x 3 x 5 x 13

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

Steps to Calculate GCD of 990, 303, 374, 390 using LCM Formula

Given numbers are 990, 303, 374, 390

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

Apply this formula for all numbers.

Step1:

LCM(990, 303) = 99990

GCD(990, 303) = ( 990 x 303 ) / 99990

= 990 / 303

= 990


Step2:

LCM(3, 374) = 1122

GCD(3, 374) = ( 3 x 374 ) / 1122

= 3 / 374

= 3


Step3:

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

= 1 / 390

= 1


So, Greatest Common Divisor of 990, 303, 374, 390 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 303, 374, 390

Given numbers are 990, 303, 374, 390
The greatest common divisor of numbers 990, 303, 374, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 303, 374, 390 is 1.

FAQs on GCD of 990, 303, 374, 390 Calculator

1. What is the GCD of 990, 303, 374, 390?

GCD of given numbers 990, 303, 374, 390 is 1


2. How to calculate the greatest common divisor of 990, 303, 374, 390?

We can find the highest common divisor of 990, 303, 374, 390 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, 303, 374, 390 i.e 1.


3. How can I use the GCD of 990, 303, 374, 390Calculator?

Out the numbers 990, 303, 374, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.