Online GCD Calculator is useful to find the GCD of 252, 500, 72, 599 quickly. Get the easiest ways to solve the greatest common divisor of 252, 500, 72, 599 i.e 1 in different methods as follows.
Given Input numbers are 252, 500, 72, 599
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 599 :
The positive integer divisors of 599 that completely divides 599 are.
1, 599
GCD of numbers is the greatest common divisor
So, the GCD (252, 500, 72, 599) = 1.
Given numbers are 252, 500, 72, 599
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 599 are 599
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 252, 500, 72, 599
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 500) = 31500
GCD(252, 500) = ( 252 x 500 ) / 31500
= 252 / 500
= 252
Step2:
LCM(4, 72) = 72
GCD(4, 72) = ( 4 x 72 ) / 72
= 4 / 72
= 4
Step3:
LCM(4, 599) = 2396
GCD(4, 599) = ( 4 x 599 ) / 2396
= 4 / 599
= 4
So, Greatest Common Divisor of 252, 500, 72, 599 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 500, 72, 599
The greatest common divisor of numbers 252, 500, 72, 599 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 500, 72, 599 is 1.
1. What is the GCD of 252, 500, 72, 599?
GCD of given numbers 252, 500, 72, 599 is 1
2. How to calculate the greatest common divisor of 252, 500, 72, 599?
We can find the highest common divisor of 252, 500, 72, 599 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 252, 500, 72, 599 i.e 1.
3. How can I use the GCD of 252, 500, 72, 599Calculator?
Out the numbers 252, 500, 72, 599 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.