Online GCD Calculator is useful to find the GCD of 513, 732, 500, 117 quickly. Get the easiest ways to solve the greatest common divisor of 513, 732, 500, 117 i.e 1 in different methods as follows.
Given Input numbers are 513, 732, 500, 117
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (513, 732, 500, 117) = 1.
Given numbers are 513, 732, 500, 117
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 732, 500, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 732) = 125172
GCD(513, 732) = ( 513 x 732 ) / 125172
= 513 / 732
= 513
Step2:
LCM(3, 500) = 1500
GCD(3, 500) = ( 3 x 500 ) / 1500
= 3 / 500
= 3
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 513, 732, 500, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 732, 500, 117
The greatest common divisor of numbers 513, 732, 500, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 732, 500, 117 is 1.
1. What is the GCD of 513, 732, 500, 117?
GCD of given numbers 513, 732, 500, 117 is 1
2. How to calculate the greatest common divisor of 513, 732, 500, 117?
We can find the highest common divisor of 513, 732, 500, 117 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, 732, 500, 117 i.e 1.
3. How can I use the GCD of 513, 732, 500, 117Calculator?
Out the numbers 513, 732, 500, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.