Online GCD Calculator is useful to find the GCD of 513, 120, 936, 575 quickly. Get the easiest ways to solve the greatest common divisor of 513, 120, 936, 575 i.e 1 in different methods as follows.
Given Input numbers are 513, 120, 936, 575
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 575 :
The positive integer divisors of 575 that completely divides 575 are.
1, 5, 23, 25, 115, 575
GCD of numbers is the greatest common divisor
So, the GCD (513, 120, 936, 575) = 1.
Given numbers are 513, 120, 936, 575
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 575 are 5 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 120, 936, 575
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 120) = 20520
GCD(513, 120) = ( 513 x 120 ) / 20520
= 513 / 120
= 513
Step2:
LCM(3, 936) = 936
GCD(3, 936) = ( 3 x 936 ) / 936
= 3 / 936
= 3
Step3:
LCM(3, 575) = 1725
GCD(3, 575) = ( 3 x 575 ) / 1725
= 3 / 575
= 3
So, Greatest Common Divisor of 513, 120, 936, 575 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 120, 936, 575
The greatest common divisor of numbers 513, 120, 936, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 120, 936, 575 is 1.
1. What is the GCD of 513, 120, 936, 575?
GCD of given numbers 513, 120, 936, 575 is 1
2. How to calculate the greatest common divisor of 513, 120, 936, 575?
We can find the highest common divisor of 513, 120, 936, 575 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, 120, 936, 575 i.e 1.
3. How can I use the GCD of 513, 120, 936, 575Calculator?
Out the numbers 513, 120, 936, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.