Online GCD Calculator is useful to find the GCD of 328, 828, 409, 429 quickly. Get the easiest ways to solve the greatest common divisor of 328, 828, 409, 429 i.e 1 in different methods as follows.
Given Input numbers are 328, 828, 409, 429
In the factoring method, we have to find the divisors of all numbers
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
GCD of numbers is the greatest common divisor
So, the GCD (328, 828, 409, 429) = 1.
Given numbers are 328, 828, 409, 429
The list of prime factors of all numbers are
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 409 are 409
Prime factors of 429 are 3 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 328, 828, 409, 429
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(328, 828) = 67896
GCD(328, 828) = ( 328 x 828 ) / 67896
= 328 / 828
= 328
Step2:
LCM(4, 409) = 1636
GCD(4, 409) = ( 4 x 409 ) / 1636
= 4 / 409
= 4
Step3:
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
= 1 / 429
= 1
So, Greatest Common Divisor of 328, 828, 409, 429 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 328, 828, 409, 429
The greatest common divisor of numbers 328, 828, 409, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 828, 409, 429 is 1.
1. What is the GCD of 328, 828, 409, 429?
GCD of given numbers 328, 828, 409, 429 is 1
2. How to calculate the greatest common divisor of 328, 828, 409, 429?
We can find the highest common divisor of 328, 828, 409, 429 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 328, 828, 409, 429 i.e 1.
3. How can I use the GCD of 328, 828, 409, 429Calculator?
Out the numbers 328, 828, 409, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.