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GCD of 772, 817, 689, 231 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, 817, 689, 231 quickly. Get the easiest ways to solve the greatest common divisor of 772, 817, 689, 231 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 772, 817, 689, 231 with Factoring?

Given Input numbers are 772, 817, 689, 231

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 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231


GCD of numbers is the greatest common divisor

So, the GCD (772, 817, 689, 231) = 1.

Find GCD of 772, 817, 689, 231 using Prime Factorization

Given numbers are 772, 817, 689, 231

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 817 are 19 x 43

Prime factors of 689 are 13 x 53

Prime factors of 231 are 3 x 7 x 11

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

Steps to Calculate GCD of 772, 817, 689, 231 using LCM Formula

Given numbers are 772, 817, 689, 231

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

Apply this formula for all numbers.

Step1:

LCM(772, 817) = 630724

GCD(772, 817) = ( 772 x 817 ) / 630724

= 772 / 817

= 772


Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1


Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1


So, Greatest Common Divisor of 772, 817, 689, 231 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 772, 817, 689, 231

Given numbers are 772, 817, 689, 231
The greatest common divisor of numbers 772, 817, 689, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 817, 689, 231 is 1.

FAQs on GCD of 772, 817, 689, 231 Calculator

1. What is the GCD of 772, 817, 689, 231?

GCD of given numbers 772, 817, 689, 231 is 1


2. How to calculate the greatest common divisor of 772, 817, 689, 231?

We can find the highest common divisor of 772, 817, 689, 231 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, 817, 689, 231 i.e 1.


3. How can I use the GCD of 772, 817, 689, 231Calculator?

Out the numbers 772, 817, 689, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.