Online GCD Calculator is useful to find the GCD of 252, 428, 345, 589 quickly. Get the easiest ways to solve the greatest common divisor of 252, 428, 345, 589 i.e 1 in different methods as follows.
Given Input numbers are 252, 428, 345, 589
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
GCD of numbers is the greatest common divisor
So, the GCD (252, 428, 345, 589) = 1.
Given numbers are 252, 428, 345, 589
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 428 are 2 x 2 x 107
Prime factors of 345 are 3 x 5 x 23
Prime factors of 589 are 19 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 252, 428, 345, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 428) = 26964
GCD(252, 428) = ( 252 x 428 ) / 26964
= 252 / 428
= 252
Step2:
LCM(4, 345) = 1380
GCD(4, 345) = ( 4 x 345 ) / 1380
= 4 / 345
= 4
Step3:
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
= 1 / 589
= 1
So, Greatest Common Divisor of 252, 428, 345, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 428, 345, 589
The greatest common divisor of numbers 252, 428, 345, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 428, 345, 589 is 1.
1. What is the GCD of 252, 428, 345, 589?
GCD of given numbers 252, 428, 345, 589 is 1
2. How to calculate the greatest common divisor of 252, 428, 345, 589?
We can find the highest common divisor of 252, 428, 345, 589 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, 428, 345, 589 i.e 1.
3. How can I use the GCD of 252, 428, 345, 589Calculator?
Out the numbers 252, 428, 345, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.