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GCD of 663, 645, 36, 630 Calculator

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


Online GCD Calculator is useful to find the GCD of 663, 645, 36, 630 quickly. Get the easiest ways to solve the greatest common divisor of 663, 645, 36, 630 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 663, 645, 36, 630 with Factoring?

Given Input numbers are 663, 645, 36, 630

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

Divisors of 663 :

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

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630


GCD of numbers is the greatest common divisor

So, the GCD (663, 645, 36, 630) = 3.

Find GCD of 663, 645, 36, 630 using Prime Factorization

Given numbers are 663, 645, 36, 630

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 645 are 3 x 5 x 43

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

The highest common occurrence is 31

Therefore, GCD of 663, 645, 36, 630 is 3.

Steps to Calculate GCD of 663, 645, 36, 630 using LCM Formula

Given numbers are 663, 645, 36, 630

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

Apply this formula for all numbers.

Step1:

LCM(663, 645) = 142545

GCD(663, 645) = ( 663 x 645 ) / 142545

= 663 / 645

= 663


Step2:

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

= 3 / 36

= 3


Step3:

LCM(3, 630) = 630

GCD(3, 630) = ( 3 x 630 ) / 630

= 3 / 630

= 3


So, Greatest Common Divisor of 663, 645, 36, 630 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 663, 645, 36, 630

Given numbers are 663, 645, 36, 630
The greatest common divisor of numbers 663, 645, 36, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 645, 36, 630 is 3.

FAQs on GCD of 663, 645, 36, 630 Calculator

1. What is the GCD of 663, 645, 36, 630?

GCD of given numbers 663, 645, 36, 630 is 3


2. How to calculate the greatest common divisor of 663, 645, 36, 630?

We can find the highest common divisor of 663, 645, 36, 630 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 663, 645, 36, 630 i.e 3.


3. How can I use the GCD of 663, 645, 36, 630Calculator?

Out the numbers 663, 645, 36, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.