Online GCD Calculator is useful to find the GCD of 829, 225, 231, 612 quickly. Get the easiest ways to solve the greatest common divisor of 829, 225, 231, 612 i.e 1 in different methods as follows.
Given Input numbers are 829, 225, 231, 612
In the factoring method, we have to find the divisors of all numbers
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
GCD of numbers is the greatest common divisor
So, the GCD (829, 225, 231, 612) = 1.
Given numbers are 829, 225, 231, 612
The list of prime factors of all numbers are
Prime factors of 829 are 829
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 231 are 3 x 7 x 11
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 829, 225, 231, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(829, 225) = 186525
GCD(829, 225) = ( 829 x 225 ) / 186525
= 829 / 225
= 829
Step2:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
Step3:
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
= 1 / 612
= 1
So, Greatest Common Divisor of 829, 225, 231, 612 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 829, 225, 231, 612
The greatest common divisor of numbers 829, 225, 231, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 225, 231, 612 is 1.
1. What is the GCD of 829, 225, 231, 612?
GCD of given numbers 829, 225, 231, 612 is 1
2. How to calculate the greatest common divisor of 829, 225, 231, 612?
We can find the highest common divisor of 829, 225, 231, 612 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 829, 225, 231, 612 i.e 1.
3. How can I use the GCD of 829, 225, 231, 612Calculator?
Out the numbers 829, 225, 231, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.