Online GCD Calculator is useful to find the GCD of 645, 675, 648, 663 quickly. Get the easiest ways to solve the greatest common divisor of 645, 675, 648, 663 i.e 3 in different methods as follows.
Given Input numbers are 645, 675, 648, 663
In the factoring method, we have to find the divisors of all numbers
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
GCD of numbers is the greatest common divisor
So, the GCD (645, 675, 648, 663) = 3.
Given numbers are 645, 675, 648, 663
The list of prime factors of all numbers are
Prime factors of 645 are 3 x 5 x 43
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 663 are 3 x 13 x 17
The highest common occurrence is 31
Therefore, GCD of 645, 675, 648, 663 is 3.
Given numbers are 645, 675, 648, 663
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(645, 675) = 29025
GCD(645, 675) = ( 645 x 675 ) / 29025
= 645 / 675
= 645
Step2:
LCM(15, 648) = 3240
GCD(15, 648) = ( 15 x 648 ) / 3240
= 15 / 648
= 15
Step3:
LCM(3, 663) = 663
GCD(3, 663) = ( 3 x 663 ) / 663
= 3 / 663
= 3
So, Greatest Common Divisor of 645, 675, 648, 663 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 645, 675, 648, 663
The greatest common divisor of numbers 645, 675, 648, 663 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 675, 648, 663 is 3.
1. What is the GCD of 645, 675, 648, 663?
GCD of given numbers 645, 675, 648, 663 is 3
2. How to calculate the greatest common divisor of 645, 675, 648, 663?
We can find the highest common divisor of 645, 675, 648, 663 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 645, 675, 648, 663 i.e 3.
3. How can I use the GCD of 645, 675, 648, 663Calculator?
Out the numbers 645, 675, 648, 663 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.