Online GCD Calculator is useful to find the GCD of 550, 989, 872, 814 quickly. Get the easiest ways to solve the greatest common divisor of 550, 989, 872, 814 i.e 1 in different methods as follows.
Given Input numbers are 550, 989, 872, 814
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 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (550, 989, 872, 814) = 1.
Given numbers are 550, 989, 872, 814
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 989 are 23 x 43
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 814 are 2 x 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 550, 989, 872, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 989) = 543950
GCD(550, 989) = ( 550 x 989 ) / 543950
= 550 / 989
= 550
Step2:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
Step3:
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
= 1 / 814
= 1
So, Greatest Common Divisor of 550, 989, 872, 814 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 989, 872, 814
The greatest common divisor of numbers 550, 989, 872, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 989, 872, 814 is 1.
1. What is the GCD of 550, 989, 872, 814?
GCD of given numbers 550, 989, 872, 814 is 1
2. How to calculate the greatest common divisor of 550, 989, 872, 814?
We can find the highest common divisor of 550, 989, 872, 814 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, 989, 872, 814 i.e 1.
3. How can I use the GCD of 550, 989, 872, 814Calculator?
Out the numbers 550, 989, 872, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.