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GCD of 990, 841, 108, 828 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, 841, 108, 828 quickly. Get the easiest ways to solve the greatest common divisor of 990, 841, 108, 828 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 841, 108, 828 with Factoring?

Given Input numbers are 990, 841, 108, 828

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 841 :

The positive integer divisors of 841 that completely divides 841 are.

1, 29, 841

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828


GCD of numbers is the greatest common divisor

So, the GCD (990, 841, 108, 828) = 1.

Find GCD of 990, 841, 108, 828 using Prime Factorization

Given numbers are 990, 841, 108, 828

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 841 are 29 x 29

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Steps to Calculate GCD of 990, 841, 108, 828 using LCM Formula

Given numbers are 990, 841, 108, 828

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

Apply this formula for all numbers.

Step1:

LCM(990, 841) = 832590

GCD(990, 841) = ( 990 x 841 ) / 832590

= 990 / 841

= 990


Step2:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1


Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1


So, Greatest Common Divisor of 990, 841, 108, 828 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 841, 108, 828

Given numbers are 990, 841, 108, 828
The greatest common divisor of numbers 990, 841, 108, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 841, 108, 828 is 1.

FAQs on GCD of 990, 841, 108, 828 Calculator

1. What is the GCD of 990, 841, 108, 828?

GCD of given numbers 990, 841, 108, 828 is 1


2. How to calculate the greatest common divisor of 990, 841, 108, 828?

We can find the highest common divisor of 990, 841, 108, 828 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, 841, 108, 828 i.e 1.


3. How can I use the GCD of 990, 841, 108, 828Calculator?

Out the numbers 990, 841, 108, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.