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GCD of 822, 709, 898, 393 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, 709, 898, 393 quickly. Get the easiest ways to solve the greatest common divisor of 822, 709, 898, 393 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 822, 709, 898, 393 with Factoring?

Given Input numbers are 822, 709, 898, 393

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 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393


GCD of numbers is the greatest common divisor

So, the GCD (822, 709, 898, 393) = 1.

Find GCD of 822, 709, 898, 393 using Prime Factorization

Given numbers are 822, 709, 898, 393

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 709 are 709

Prime factors of 898 are 2 x 449

Prime factors of 393 are 3 x 131

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

Steps to Calculate GCD of 822, 709, 898, 393 using LCM Formula

Given numbers are 822, 709, 898, 393

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

Apply this formula for all numbers.

Step1:

LCM(822, 709) = 582798

GCD(822, 709) = ( 822 x 709 ) / 582798

= 822 / 709

= 822


Step2:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1


Step3:

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

= 1 / 393

= 1


So, Greatest Common Divisor of 822, 709, 898, 393 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 822, 709, 898, 393

Given numbers are 822, 709, 898, 393
The greatest common divisor of numbers 822, 709, 898, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 709, 898, 393 is 1.

FAQs on GCD of 822, 709, 898, 393 Calculator

1. What is the GCD of 822, 709, 898, 393?

GCD of given numbers 822, 709, 898, 393 is 1


2. How to calculate the greatest common divisor of 822, 709, 898, 393?

We can find the highest common divisor of 822, 709, 898, 393 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, 709, 898, 393 i.e 1.


3. How can I use the GCD of 822, 709, 898, 393Calculator?

Out the numbers 822, 709, 898, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.