Online GCD Calculator is useful to find the GCD of 550, 407, 589 quickly. Get the easiest ways to solve the greatest common divisor of 550, 407, 589 i.e 1 in different methods as follows.
Given Input numbers are 550, 407, 589
In the factoring method, we have to find the divisors of all numbers
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
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 (550, 407, 589) = 1.
Given numbers are 550, 407, 589
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 407 are 11 x 37
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 550, 407, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 407) = 20350
GCD(550, 407) = ( 550 x 407 ) / 20350
= 550 / 407
= 550
Step2:
LCM(11, 589) = 6479
GCD(11, 589) = ( 11 x 589 ) / 6479
= 11 / 589
= 11
So, Greatest Common Divisor of 550, 407, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 407, 589
The greatest common divisor of numbers 550, 407, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 407, 589 is 1.
1. What is the GCD of 550, 407, 589?
GCD of given numbers 550, 407, 589 is 1
2. How to calculate the greatest common divisor of 550, 407, 589?
We can find the highest common divisor of 550, 407, 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 550, 407, 589 i.e 1.
3. How can I use the GCD of 550, 407, 589Calculator?
Out the numbers 550, 407, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.