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GCD of 822, 831, 608, 653 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, 831, 608, 653 quickly. Get the easiest ways to solve the greatest common divisor of 822, 831, 608, 653 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 822, 831, 608, 653 with Factoring?

Given Input numbers are 822, 831, 608, 653

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 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653


GCD of numbers is the greatest common divisor

So, the GCD (822, 831, 608, 653) = 1.

Find GCD of 822, 831, 608, 653 using Prime Factorization

Given numbers are 822, 831, 608, 653

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 831 are 3 x 277

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 653 are 653

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

Steps to Calculate GCD of 822, 831, 608, 653 using LCM Formula

Given numbers are 822, 831, 608, 653

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

Apply this formula for all numbers.

Step1:

LCM(822, 831) = 227694

GCD(822, 831) = ( 822 x 831 ) / 227694

= 822 / 831

= 822


Step2:

LCM(3, 608) = 1824

GCD(3, 608) = ( 3 x 608 ) / 1824

= 3 / 608

= 3


Step3:

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

= 1 / 653

= 1


So, Greatest Common Divisor of 822, 831, 608, 653 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 822, 831, 608, 653

Given numbers are 822, 831, 608, 653
The greatest common divisor of numbers 822, 831, 608, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 831, 608, 653 is 1.

FAQs on GCD of 822, 831, 608, 653 Calculator

1. What is the GCD of 822, 831, 608, 653?

GCD of given numbers 822, 831, 608, 653 is 1


2. How to calculate the greatest common divisor of 822, 831, 608, 653?

We can find the highest common divisor of 822, 831, 608, 653 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, 831, 608, 653 i.e 1.


3. How can I use the GCD of 822, 831, 608, 653Calculator?

Out the numbers 822, 831, 608, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.