Online GCD Calculator is useful to find the GCD of 627, 450, 39 quickly. Get the easiest ways to solve the greatest common divisor of 627, 450, 39 i.e 3 in different methods as follows.
Given Input numbers are 627, 450, 39
In the factoring method, we have to find the divisors of all numbers
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 39 :
The positive integer divisors of 39 that completely divides 39 are.
1, 3, 13, 39
GCD of numbers is the greatest common divisor
So, the GCD (627, 450, 39) = 3.
Given numbers are 627, 450, 39
The list of prime factors of all numbers are
Prime factors of 627 are 3 x 11 x 19
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 39 are 3 x 13
The highest common occurrence is 31
Therefore, GCD of 627, 450, 39 is 3.
Given numbers are 627, 450, 39
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(627, 450) = 94050
GCD(627, 450) = ( 627 x 450 ) / 94050
= 627 / 450
= 627
Step2:
LCM(3, 39) = 39
GCD(3, 39) = ( 3 x 39 ) / 39
= 3 / 39
= 3
So, Greatest Common Divisor of 627, 450, 39 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 627, 450, 39
The greatest common divisor of numbers 627, 450, 39 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 450, 39 is 3.
1. What is the GCD of 627, 450, 39?
GCD of given numbers 627, 450, 39 is 3
2. How to calculate the greatest common divisor of 627, 450, 39?
We can find the highest common divisor of 627, 450, 39 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 627, 450, 39 i.e 3.
3. How can I use the GCD of 627, 450, 39Calculator?
Out the numbers 627, 450, 39 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.