Online GCD Calculator is useful to find the GCD of 829, 396, 114, 465 quickly. Get the easiest ways to solve the greatest common divisor of 829, 396, 114, 465 i.e 1 in different methods as follows.
Given Input numbers are 829, 396, 114, 465
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 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (829, 396, 114, 465) = 1.
Given numbers are 829, 396, 114, 465
The list of prime factors of all numbers are
Prime factors of 829 are 829
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 114 are 2 x 3 x 19
Prime factors of 465 are 3 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 829, 396, 114, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(829, 396) = 328284
GCD(829, 396) = ( 829 x 396 ) / 328284
= 829 / 396
= 829
Step2:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
Step3:
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
= 1 / 465
= 1
So, Greatest Common Divisor of 829, 396, 114, 465 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 829, 396, 114, 465
The greatest common divisor of numbers 829, 396, 114, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 396, 114, 465 is 1.
1. What is the GCD of 829, 396, 114, 465?
GCD of given numbers 829, 396, 114, 465 is 1
2. How to calculate the greatest common divisor of 829, 396, 114, 465?
We can find the highest common divisor of 829, 396, 114, 465 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, 396, 114, 465 i.e 1.
3. How can I use the GCD of 829, 396, 114, 465Calculator?
Out the numbers 829, 396, 114, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.