Online GCD Calculator is useful to find the GCD of 814, 989, 420, 928 quickly. Get the easiest ways to solve the greatest common divisor of 814, 989, 420, 928 i.e 1 in different methods as follows.
Given Input numbers are 814, 989, 420, 928
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
GCD of numbers is the greatest common divisor
So, the GCD (814, 989, 420, 928) = 1.
Given numbers are 814, 989, 420, 928
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 989 are 23 x 43
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 814, 989, 420, 928
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 989) = 805046
GCD(814, 989) = ( 814 x 989 ) / 805046
= 814 / 989
= 814
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
= 1 / 928
= 1
So, Greatest Common Divisor of 814, 989, 420, 928 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 989, 420, 928
The greatest common divisor of numbers 814, 989, 420, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 989, 420, 928 is 1.
1. What is the GCD of 814, 989, 420, 928?
GCD of given numbers 814, 989, 420, 928 is 1
2. How to calculate the greatest common divisor of 814, 989, 420, 928?
We can find the highest common divisor of 814, 989, 420, 928 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 814, 989, 420, 928 i.e 1.
3. How can I use the GCD of 814, 989, 420, 928Calculator?
Out the numbers 814, 989, 420, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.