Online GCD Calculator is useful to find the GCD of 500, 708, 285, 561 quickly. Get the easiest ways to solve the greatest common divisor of 500, 708, 285, 561 i.e 1 in different methods as follows.
Given Input numbers are 500, 708, 285, 561
In the factoring method, we have to find the divisors of all numbers
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 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
GCD of numbers is the greatest common divisor
So, the GCD (500, 708, 285, 561) = 1.
Given numbers are 500, 708, 285, 561
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 285 are 3 x 5 x 19
Prime factors of 561 are 3 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 708, 285, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 708) = 88500
GCD(500, 708) = ( 500 x 708 ) / 88500
= 500 / 708
= 500
Step2:
LCM(4, 285) = 1140
GCD(4, 285) = ( 4 x 285 ) / 1140
= 4 / 285
= 4
Step3:
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
= 1 / 561
= 1
So, Greatest Common Divisor of 500, 708, 285, 561 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 708, 285, 561
The greatest common divisor of numbers 500, 708, 285, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 708, 285, 561 is 1.
1. What is the GCD of 500, 708, 285, 561?
GCD of given numbers 500, 708, 285, 561 is 1
2. How to calculate the greatest common divisor of 500, 708, 285, 561?
We can find the highest common divisor of 500, 708, 285, 561 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 500, 708, 285, 561 i.e 1.
3. How can I use the GCD of 500, 708, 285, 561Calculator?
Out the numbers 500, 708, 285, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.