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GCD of 990, 787, 27, 684 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, 787, 27, 684 quickly. Get the easiest ways to solve the greatest common divisor of 990, 787, 27, 684 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 787, 27, 684 with Factoring?

Given Input numbers are 990, 787, 27, 684

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 787 :

The positive integer divisors of 787 that completely divides 787 are.

1, 787

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684


GCD of numbers is the greatest common divisor

So, the GCD (990, 787, 27, 684) = 1.

Find GCD of 990, 787, 27, 684 using Prime Factorization

Given numbers are 990, 787, 27, 684

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 787 are 787

Prime factors of 27 are 3 x 3 x 3

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Steps to Calculate GCD of 990, 787, 27, 684 using LCM Formula

Given numbers are 990, 787, 27, 684

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

Apply this formula for all numbers.

Step1:

LCM(990, 787) = 779130

GCD(990, 787) = ( 990 x 787 ) / 779130

= 990 / 787

= 990


Step2:

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

= 1 / 27

= 1


Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1


So, Greatest Common Divisor of 990, 787, 27, 684 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 787, 27, 684

Given numbers are 990, 787, 27, 684
The greatest common divisor of numbers 990, 787, 27, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 787, 27, 684 is 1.

FAQs on GCD of 990, 787, 27, 684 Calculator

1. What is the GCD of 990, 787, 27, 684?

GCD of given numbers 990, 787, 27, 684 is 1


2. How to calculate the greatest common divisor of 990, 787, 27, 684?

We can find the highest common divisor of 990, 787, 27, 684 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, 787, 27, 684 i.e 1.


3. How can I use the GCD of 990, 787, 27, 684Calculator?

Out the numbers 990, 787, 27, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.