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GCD of 774, 636, 663, 558 Calculator

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


Online GCD Calculator is useful to find the GCD of 774, 636, 663, 558 quickly. Get the easiest ways to solve the greatest common divisor of 774, 636, 663, 558 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 774, 636, 663, 558 with Factoring?

Given Input numbers are 774, 636, 663, 558

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558


GCD of numbers is the greatest common divisor

So, the GCD (774, 636, 663, 558) = 3.

Find GCD of 774, 636, 663, 558 using Prime Factorization

Given numbers are 774, 636, 663, 558

The list of prime factors of all numbers are

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 663 are 3 x 13 x 17

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 31

Therefore, GCD of 774, 636, 663, 558 is 3.

Steps to Calculate GCD of 774, 636, 663, 558 using LCM Formula

Given numbers are 774, 636, 663, 558

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

Apply this formula for all numbers.

Step1:

LCM(774, 636) = 82044

GCD(774, 636) = ( 774 x 636 ) / 82044

= 774 / 636

= 774


Step2:

LCM(6, 663) = 1326

GCD(6, 663) = ( 6 x 663 ) / 1326

= 6 / 663

= 6


Step3:

LCM(3, 558) = 558

GCD(3, 558) = ( 3 x 558 ) / 558

= 3 / 558

= 3


So, Greatest Common Divisor of 774, 636, 663, 558 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 774, 636, 663, 558

Given numbers are 774, 636, 663, 558
The greatest common divisor of numbers 774, 636, 663, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 636, 663, 558 is 3.

FAQs on GCD of 774, 636, 663, 558 Calculator

1. What is the GCD of 774, 636, 663, 558?

GCD of given numbers 774, 636, 663, 558 is 3


2. How to calculate the greatest common divisor of 774, 636, 663, 558?

We can find the highest common divisor of 774, 636, 663, 558 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 774, 636, 663, 558 i.e 3.


3. How can I use the GCD of 774, 636, 663, 558Calculator?

Out the numbers 774, 636, 663, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.