Online GCD Calculator is useful to find the GCD of 513, 933, 438, 153 quickly. Get the easiest ways to solve the greatest common divisor of 513, 933, 438, 153 i.e 3 in different methods as follows.
Given Input numbers are 513, 933, 438, 153
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 933 :
The positive integer divisors of 933 that completely divides 933 are.
1, 3, 311, 933
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
GCD of numbers is the greatest common divisor
So, the GCD (513, 933, 438, 153) = 3.
Given numbers are 513, 933, 438, 153
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 933 are 3 x 311
Prime factors of 438 are 2 x 3 x 73
Prime factors of 153 are 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 513, 933, 438, 153 is 3.
Given numbers are 513, 933, 438, 153
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 933) = 159543
GCD(513, 933) = ( 513 x 933 ) / 159543
= 513 / 933
= 513
Step2:
LCM(3, 438) = 438
GCD(3, 438) = ( 3 x 438 ) / 438
= 3 / 438
= 3
Step3:
LCM(3, 153) = 153
GCD(3, 153) = ( 3 x 153 ) / 153
= 3 / 153
= 3
So, Greatest Common Divisor of 513, 933, 438, 153 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 933, 438, 153
The greatest common divisor of numbers 513, 933, 438, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 933, 438, 153 is 3.
1. What is the GCD of 513, 933, 438, 153?
GCD of given numbers 513, 933, 438, 153 is 3
2. How to calculate the greatest common divisor of 513, 933, 438, 153?
We can find the highest common divisor of 513, 933, 438, 153 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, 933, 438, 153 i.e 3.
3. How can I use the GCD of 513, 933, 438, 153Calculator?
Out the numbers 513, 933, 438, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.