Online GCD Calculator is useful to find the GCD of 398, 429, 817, 522 quickly. Get the easiest ways to solve the greatest common divisor of 398, 429, 817, 522 i.e 1 in different methods as follows.
Given Input numbers are 398, 429, 817, 522
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 817 :
The positive integer divisors of 817 that completely divides 817 are.
1, 19, 43, 817
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
GCD of numbers is the greatest common divisor
So, the GCD (398, 429, 817, 522) = 1.
Given numbers are 398, 429, 817, 522
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 429 are 3 x 11 x 13
Prime factors of 817 are 19 x 43
Prime factors of 522 are 2 x 3 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 429, 817, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 429) = 170742
GCD(398, 429) = ( 398 x 429 ) / 170742
= 398 / 429
= 398
Step2:
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
= 1 / 817
= 1
Step3:
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
= 1 / 522
= 1
So, Greatest Common Divisor of 398, 429, 817, 522 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 429, 817, 522
The greatest common divisor of numbers 398, 429, 817, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 429, 817, 522 is 1.
1. What is the GCD of 398, 429, 817, 522?
GCD of given numbers 398, 429, 817, 522 is 1
2. How to calculate the greatest common divisor of 398, 429, 817, 522?
We can find the highest common divisor of 398, 429, 817, 522 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 398, 429, 817, 522 i.e 1.
3. How can I use the GCD of 398, 429, 817, 522Calculator?
Out the numbers 398, 429, 817, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.