Online GCD Calculator is useful to find the GCD of 828, 836, 589, 106 quickly. Get the easiest ways to solve the greatest common divisor of 828, 836, 589, 106 i.e 1 in different methods as follows.
Given Input numbers are 828, 836, 589, 106
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 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (828, 836, 589, 106) = 1.
Given numbers are 828, 836, 589, 106
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 836 are 2 x 2 x 11 x 19
Prime factors of 589 are 19 x 31
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 836, 589, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 836) = 173052
GCD(828, 836) = ( 828 x 836 ) / 173052
= 828 / 836
= 828
Step2:
LCM(4, 589) = 2356
GCD(4, 589) = ( 4 x 589 ) / 2356
= 4 / 589
= 4
Step3:
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
= 1 / 106
= 1
So, Greatest Common Divisor of 828, 836, 589, 106 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 836, 589, 106
The greatest common divisor of numbers 828, 836, 589, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 836, 589, 106 is 1.
1. What is the GCD of 828, 836, 589, 106?
GCD of given numbers 828, 836, 589, 106 is 1
2. How to calculate the greatest common divisor of 828, 836, 589, 106?
We can find the highest common divisor of 828, 836, 589, 106 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, 836, 589, 106 i.e 1.
3. How can I use the GCD of 828, 836, 589, 106Calculator?
Out the numbers 828, 836, 589, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.