Online GCD Calculator is useful to find the GCD of 550, 428, 587, 198 quickly. Get the easiest ways to solve the greatest common divisor of 550, 428, 587, 198 i.e 1 in different methods as follows.
Given Input numbers are 550, 428, 587, 198
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 587 :
The positive integer divisors of 587 that completely divides 587 are.
1, 587
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (550, 428, 587, 198) = 1.
Given numbers are 550, 428, 587, 198
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 428 are 2 x 2 x 107
Prime factors of 587 are 587
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 550, 428, 587, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 428) = 117700
GCD(550, 428) = ( 550 x 428 ) / 117700
= 550 / 428
= 550
Step2:
LCM(2, 587) = 1174
GCD(2, 587) = ( 2 x 587 ) / 1174
= 2 / 587
= 2
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 550, 428, 587, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 428, 587, 198
The greatest common divisor of numbers 550, 428, 587, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 428, 587, 198 is 1.
1. What is the GCD of 550, 428, 587, 198?
GCD of given numbers 550, 428, 587, 198 is 1
2. How to calculate the greatest common divisor of 550, 428, 587, 198?
We can find the highest common divisor of 550, 428, 587, 198 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, 428, 587, 198 i.e 1.
3. How can I use the GCD of 550, 428, 587, 198Calculator?
Out the numbers 550, 428, 587, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.