Online GCD Calculator is useful to find the GCD of 559, 428, 500, 524 quickly. Get the easiest ways to solve the greatest common divisor of 559, 428, 500, 524 i.e 1 in different methods as follows.
Given Input numbers are 559, 428, 500, 524
In the factoring method, we have to find the divisors of all numbers
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
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 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
GCD of numbers is the greatest common divisor
So, the GCD (559, 428, 500, 524) = 1.
Given numbers are 559, 428, 500, 524
The list of prime factors of all numbers are
Prime factors of 559 are 13 x 43
Prime factors of 428 are 2 x 2 x 107
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 524 are 2 x 2 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 559, 428, 500, 524
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(559, 428) = 239252
GCD(559, 428) = ( 559 x 428 ) / 239252
= 559 / 428
= 559
Step2:
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
= 1 / 500
= 1
Step3:
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
= 1 / 524
= 1
So, Greatest Common Divisor of 559, 428, 500, 524 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 559, 428, 500, 524
The greatest common divisor of numbers 559, 428, 500, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 559, 428, 500, 524 is 1.
1. What is the GCD of 559, 428, 500, 524?
GCD of given numbers 559, 428, 500, 524 is 1
2. How to calculate the greatest common divisor of 559, 428, 500, 524?
We can find the highest common divisor of 559, 428, 500, 524 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 559, 428, 500, 524 i.e 1.
3. How can I use the GCD of 559, 428, 500, 524Calculator?
Out the numbers 559, 428, 500, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.