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GCD of 789, 627, 588, 423 Calculator

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


Online GCD Calculator is useful to find the GCD of 789, 627, 588, 423 quickly. Get the easiest ways to solve the greatest common divisor of 789, 627, 588, 423 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 789, 627, 588, 423 with Factoring?

Given Input numbers are 789, 627, 588, 423

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423


GCD of numbers is the greatest common divisor

So, the GCD (789, 627, 588, 423) = 3.

Find GCD of 789, 627, 588, 423 using Prime Factorization

Given numbers are 789, 627, 588, 423

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 627 are 3 x 11 x 19

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 31

Therefore, GCD of 789, 627, 588, 423 is 3.

Steps to Calculate GCD of 789, 627, 588, 423 using LCM Formula

Given numbers are 789, 627, 588, 423

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

Apply this formula for all numbers.

Step1:

LCM(789, 627) = 164901

GCD(789, 627) = ( 789 x 627 ) / 164901

= 789 / 627

= 789


Step2:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3


Step3:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3


So, Greatest Common Divisor of 789, 627, 588, 423 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 789, 627, 588, 423

Given numbers are 789, 627, 588, 423
The greatest common divisor of numbers 789, 627, 588, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 627, 588, 423 is 3.

FAQs on GCD of 789, 627, 588, 423 Calculator

1. What is the GCD of 789, 627, 588, 423?

GCD of given numbers 789, 627, 588, 423 is 3


2. How to calculate the greatest common divisor of 789, 627, 588, 423?

We can find the highest common divisor of 789, 627, 588, 423 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 789, 627, 588, 423 i.e 3.


3. How can I use the GCD of 789, 627, 588, 423Calculator?

Out the numbers 789, 627, 588, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.