Online GCD Calculator is useful to find the GCD of 422, 999, 315, 898 quickly. Get the easiest ways to solve the greatest common divisor of 422, 999, 315, 898 i.e 1 in different methods as follows.
Given Input numbers are 422, 999, 315, 898
In the factoring method, we have to find the divisors of all numbers
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (422, 999, 315, 898) = 1.
Given numbers are 422, 999, 315, 898
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 898 are 2 x 449
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 422, 999, 315, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 999) = 421578
GCD(422, 999) = ( 422 x 999 ) / 421578
= 422 / 999
= 422
Step2:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
Step3:
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
= 1 / 898
= 1
So, Greatest Common Divisor of 422, 999, 315, 898 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 999, 315, 898
The greatest common divisor of numbers 422, 999, 315, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 999, 315, 898 is 1.
1. What is the GCD of 422, 999, 315, 898?
GCD of given numbers 422, 999, 315, 898 is 1
2. How to calculate the greatest common divisor of 422, 999, 315, 898?
We can find the highest common divisor of 422, 999, 315, 898 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 422, 999, 315, 898 i.e 1.
3. How can I use the GCD of 422, 999, 315, 898Calculator?
Out the numbers 422, 999, 315, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.