Online GCD Calculator is useful to find the GCD of 165, 750, 159, 423 quickly. Get the easiest ways to solve the greatest common divisor of 165, 750, 159, 423 i.e 3 in different methods as follows.
Given Input numbers are 165, 750, 159, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (165, 750, 159, 423) = 3.
Given numbers are 165, 750, 159, 423
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 159 are 3 x 53
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 165, 750, 159, 423 is 3.
Given numbers are 165, 750, 159, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 750) = 8250
GCD(165, 750) = ( 165 x 750 ) / 8250
= 165 / 750
= 165
Step2:
LCM(15, 159) = 795
GCD(15, 159) = ( 15 x 159 ) / 795
= 15 / 159
= 15
Step3:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
So, Greatest Common Divisor of 165, 750, 159, 423 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 750, 159, 423
The greatest common divisor of numbers 165, 750, 159, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 750, 159, 423 is 3.
1. What is the GCD of 165, 750, 159, 423?
GCD of given numbers 165, 750, 159, 423 is 3
2. How to calculate the greatest common divisor of 165, 750, 159, 423?
We can find the highest common divisor of 165, 750, 159, 423 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 165, 750, 159, 423 i.e 3.
3. How can I use the GCD of 165, 750, 159, 423Calculator?
Out the numbers 165, 750, 159, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.