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GCD of 990, 252, 827, 779 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, 252, 827, 779 quickly. Get the easiest ways to solve the greatest common divisor of 990, 252, 827, 779 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 252, 827, 779 with Factoring?

Given Input numbers are 990, 252, 827, 779

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 779 :

The positive integer divisors of 779 that completely divides 779 are.

1, 19, 41, 779


GCD of numbers is the greatest common divisor

So, the GCD (990, 252, 827, 779) = 1.

Find GCD of 990, 252, 827, 779 using Prime Factorization

Given numbers are 990, 252, 827, 779

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 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 827 are 827

Prime factors of 779 are 19 x 41

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

Steps to Calculate GCD of 990, 252, 827, 779 using LCM Formula

Given numbers are 990, 252, 827, 779

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

Apply this formula for all numbers.

Step1:

LCM(990, 252) = 13860

GCD(990, 252) = ( 990 x 252 ) / 13860

= 990 / 252

= 990


Step2:

LCM(18, 827) = 14886

GCD(18, 827) = ( 18 x 827 ) / 14886

= 18 / 827

= 18


Step3:

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

= 1 / 779

= 1


So, Greatest Common Divisor of 990, 252, 827, 779 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 252, 827, 779

Given numbers are 990, 252, 827, 779
The greatest common divisor of numbers 990, 252, 827, 779 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 252, 827, 779 is 1.

FAQs on GCD of 990, 252, 827, 779 Calculator

1. What is the GCD of 990, 252, 827, 779?

GCD of given numbers 990, 252, 827, 779 is 1


2. How to calculate the greatest common divisor of 990, 252, 827, 779?

We can find the highest common divisor of 990, 252, 827, 779 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, 252, 827, 779 i.e 1.


3. How can I use the GCD of 990, 252, 827, 779Calculator?

Out the numbers 990, 252, 827, 779 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.