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GCD of 677, 689, 608, 822 Calculator

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


Online GCD Calculator is useful to find the GCD of 677, 689, 608, 822 quickly. Get the easiest ways to solve the greatest common divisor of 677, 689, 608, 822 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 677, 689, 608, 822 with Factoring?

Given Input numbers are 677, 689, 608, 822

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

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 822 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (677, 689, 608, 822) = 1.

Find GCD of 677, 689, 608, 822 using Prime Factorization

Given numbers are 677, 689, 608, 822

The list of prime factors of all numbers are

Prime factors of 677 are 677

Prime factors of 689 are 13 x 53

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

Prime factors of 822 are 2 x 3 x 137

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

Steps to Calculate GCD of 677, 689, 608, 822 using LCM Formula

Given numbers are 677, 689, 608, 822

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

Apply this formula for all numbers.

Step1:

LCM(677, 689) = 466453

GCD(677, 689) = ( 677 x 689 ) / 466453

= 677 / 689

= 677


Step2:

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

= 1 / 608

= 1


Step3:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1


So, Greatest Common Divisor of 677, 689, 608, 822 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 677, 689, 608, 822

Given numbers are 677, 689, 608, 822
The greatest common divisor of numbers 677, 689, 608, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 677, 689, 608, 822 is 1.

FAQs on GCD of 677, 689, 608, 822 Calculator

1. What is the GCD of 677, 689, 608, 822?

GCD of given numbers 677, 689, 608, 822 is 1


2. How to calculate the greatest common divisor of 677, 689, 608, 822?

We can find the highest common divisor of 677, 689, 608, 822 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 677, 689, 608, 822 i.e 1.


3. How can I use the GCD of 677, 689, 608, 822Calculator?

Out the numbers 677, 689, 608, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.