Online GCD Calculator is useful to find the GCD of 513, 558, 813, 150 quickly. Get the easiest ways to solve the greatest common divisor of 513, 558, 813, 150 i.e 3 in different methods as follows.
Given Input numbers are 513, 558, 813, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
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 (513, 558, 813, 150) = 3.
Given numbers are 513, 558, 813, 150
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 813 are 3 x 271
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 513, 558, 813, 150 is 3.
Given numbers are 513, 558, 813, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 558) = 31806
GCD(513, 558) = ( 513 x 558 ) / 31806
= 513 / 558
= 513
Step2:
LCM(9, 813) = 2439
GCD(9, 813) = ( 9 x 813 ) / 2439
= 9 / 813
= 9
Step3:
LCM(3, 150) = 150
GCD(3, 150) = ( 3 x 150 ) / 150
= 3 / 150
= 3
So, Greatest Common Divisor of 513, 558, 813, 150 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 558, 813, 150
The greatest common divisor of numbers 513, 558, 813, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 558, 813, 150 is 3.
1. What is the GCD of 513, 558, 813, 150?
GCD of given numbers 513, 558, 813, 150 is 3
2. How to calculate the greatest common divisor of 513, 558, 813, 150?
We can find the highest common divisor of 513, 558, 813, 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 513, 558, 813, 150 i.e 3.
3. How can I use the GCD of 513, 558, 813, 150Calculator?
Out the numbers 513, 558, 813, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.