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GCD of 822, 704, 818, 364 Calculator

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


Online GCD Calculator is useful to find the GCD of 822, 704, 818, 364 quickly. Get the easiest ways to solve the greatest common divisor of 822, 704, 818, 364 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 822, 704, 818, 364 with Factoring?

Given Input numbers are 822, 704, 818, 364

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364


GCD of numbers is the greatest common divisor

So, the GCD (822, 704, 818, 364) = 2.

Find GCD of 822, 704, 818, 364 using Prime Factorization

Given numbers are 822, 704, 818, 364

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 818 are 2 x 409

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 21

Therefore, GCD of 822, 704, 818, 364 is 2.

Steps to Calculate GCD of 822, 704, 818, 364 using LCM Formula

Given numbers are 822, 704, 818, 364

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

Apply this formula for all numbers.

Step1:

LCM(822, 704) = 289344

GCD(822, 704) = ( 822 x 704 ) / 289344

= 822 / 704

= 822


Step2:

LCM(2, 818) = 818

GCD(2, 818) = ( 2 x 818 ) / 818

= 2 / 818

= 2


Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2


So, Greatest Common Divisor of 822, 704, 818, 364 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 822, 704, 818, 364

Given numbers are 822, 704, 818, 364
The greatest common divisor of numbers 822, 704, 818, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 704, 818, 364 is 2.

FAQs on GCD of 822, 704, 818, 364 Calculator

1. What is the GCD of 822, 704, 818, 364?

GCD of given numbers 822, 704, 818, 364 is 2


2. How to calculate the greatest common divisor of 822, 704, 818, 364?

We can find the highest common divisor of 822, 704, 818, 364 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 822, 704, 818, 364 i.e 2.


3. How can I use the GCD of 822, 704, 818, 364Calculator?

Out the numbers 822, 704, 818, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.