Online GCD Calculator is useful to find the GCD of 828, 464, 144, 229 quickly. Get the easiest ways to solve the greatest common divisor of 828, 464, 144, 229 i.e 1 in different methods as follows.
Given Input numbers are 828, 464, 144, 229
In the factoring method, we have to find the divisors of all numbers
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 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 229 :
The positive integer divisors of 229 that completely divides 229 are.
1, 229
GCD of numbers is the greatest common divisor
So, the GCD (828, 464, 144, 229) = 1.
Given numbers are 828, 464, 144, 229
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 229 are 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 464, 144, 229
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 464) = 96048
GCD(828, 464) = ( 828 x 464 ) / 96048
= 828 / 464
= 828
Step2:
LCM(4, 144) = 144
GCD(4, 144) = ( 4 x 144 ) / 144
= 4 / 144
= 4
Step3:
LCM(4, 229) = 916
GCD(4, 229) = ( 4 x 229 ) / 916
= 4 / 229
= 4
So, Greatest Common Divisor of 828, 464, 144, 229 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 464, 144, 229
The greatest common divisor of numbers 828, 464, 144, 229 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 464, 144, 229 is 1.
1. What is the GCD of 828, 464, 144, 229?
GCD of given numbers 828, 464, 144, 229 is 1
2. How to calculate the greatest common divisor of 828, 464, 144, 229?
We can find the highest common divisor of 828, 464, 144, 229 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 828, 464, 144, 229 i.e 1.
3. How can I use the GCD of 828, 464, 144, 229Calculator?
Out the numbers 828, 464, 144, 229 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.