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.
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.
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.
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
Here are some samples of GCD of Numbers calculations.
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.
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.