Online GCD Calculator is useful to find the GCD of 609, 162, 765, 150 quickly. Get the easiest ways to solve the greatest common divisor of 609, 162, 765, 150 i.e 3 in different methods as follows.
Given Input numbers are 609, 162, 765, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (609, 162, 765, 150) = 3.
Given numbers are 609, 162, 765, 150
The list of prime factors of all numbers are
Prime factors of 609 are 3 x 7 x 29
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 609, 162, 765, 150 is 3.
Given numbers are 609, 162, 765, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(609, 162) = 32886
GCD(609, 162) = ( 609 x 162 ) / 32886
= 609 / 162
= 609
Step2:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
Step3:
LCM(3, 150) = 150
GCD(3, 150) = ( 3 x 150 ) / 150
= 3 / 150
= 3
So, Greatest Common Divisor of 609, 162, 765, 150 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 609, 162, 765, 150
The greatest common divisor of numbers 609, 162, 765, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 162, 765, 150 is 3.
1. What is the GCD of 609, 162, 765, 150?
GCD of given numbers 609, 162, 765, 150 is 3
2. How to calculate the greatest common divisor of 609, 162, 765, 150?
We can find the highest common divisor of 609, 162, 765, 150 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 609, 162, 765, 150 i.e 3.
3. How can I use the GCD of 609, 162, 765, 150Calculator?
Out the numbers 609, 162, 765, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.