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GCD of 772, 842, 822, 394 Calculator

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


Online GCD Calculator is useful to find the GCD of 772, 842, 822, 394 quickly. Get the easiest ways to solve the greatest common divisor of 772, 842, 822, 394 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 772, 842, 822, 394 with Factoring?

Given Input numbers are 772, 842, 822, 394

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 822 :

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

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394


GCD of numbers is the greatest common divisor

So, the GCD (772, 842, 822, 394) = 2.

Find GCD of 772, 842, 822, 394 using Prime Factorization

Given numbers are 772, 842, 822, 394

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 842 are 2 x 421

Prime factors of 822 are 2 x 3 x 137

Prime factors of 394 are 2 x 197

The highest common occurrence is 21

Therefore, GCD of 772, 842, 822, 394 is 2.

Steps to Calculate GCD of 772, 842, 822, 394 using LCM Formula

Given numbers are 772, 842, 822, 394

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

Apply this formula for all numbers.

Step1:

LCM(772, 842) = 325012

GCD(772, 842) = ( 772 x 842 ) / 325012

= 772 / 842

= 772


Step2:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2


Step3:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2


So, Greatest Common Divisor of 772, 842, 822, 394 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 772, 842, 822, 394

Given numbers are 772, 842, 822, 394
The greatest common divisor of numbers 772, 842, 822, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 842, 822, 394 is 2.

FAQs on GCD of 772, 842, 822, 394 Calculator

1. What is the GCD of 772, 842, 822, 394?

GCD of given numbers 772, 842, 822, 394 is 2


2. How to calculate the greatest common divisor of 772, 842, 822, 394?

We can find the highest common divisor of 772, 842, 822, 394 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 772, 842, 822, 394 i.e 2.


3. How can I use the GCD of 772, 842, 822, 394Calculator?

Out the numbers 772, 842, 822, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.