Online GCD Calculator is useful to find the GCD of 823, 228, 576, 145 quickly. Get the easiest ways to solve the greatest common divisor of 823, 228, 576, 145 i.e 1 in different methods as follows.
Given Input numbers are 823, 228, 576, 145
In the factoring method, we have to find the divisors of all numbers
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
GCD of numbers is the greatest common divisor
So, the GCD (823, 228, 576, 145) = 1.
Given numbers are 823, 228, 576, 145
The list of prime factors of all numbers are
Prime factors of 823 are 823
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 145 are 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 823, 228, 576, 145
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(823, 228) = 187644
GCD(823, 228) = ( 823 x 228 ) / 187644
= 823 / 228
= 823
Step2:
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
= 1 / 576
= 1
Step3:
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
= 1 / 145
= 1
So, Greatest Common Divisor of 823, 228, 576, 145 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 823, 228, 576, 145
The greatest common divisor of numbers 823, 228, 576, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 228, 576, 145 is 1.
1. What is the GCD of 823, 228, 576, 145?
GCD of given numbers 823, 228, 576, 145 is 1
2. How to calculate the greatest common divisor of 823, 228, 576, 145?
We can find the highest common divisor of 823, 228, 576, 145 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 823, 228, 576, 145 i.e 1.
3. How can I use the GCD of 823, 228, 576, 145Calculator?
Out the numbers 823, 228, 576, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.