Online GCD Calculator is useful to find the GCD of 824, 389, 106, 112 quickly. Get the easiest ways to solve the greatest common divisor of 824, 389, 106, 112 i.e 1 in different methods as follows.
Given Input numbers are 824, 389, 106, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 389 :
The positive integer divisors of 389 that completely divides 389 are.
1, 389
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (824, 389, 106, 112) = 1.
Given numbers are 824, 389, 106, 112
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 389 are 389
Prime factors of 106 are 2 x 53
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 824, 389, 106, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 389) = 320536
GCD(824, 389) = ( 824 x 389 ) / 320536
= 824 / 389
= 824
Step2:
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
= 1 / 106
= 1
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 824, 389, 106, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 389, 106, 112
The greatest common divisor of numbers 824, 389, 106, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 389, 106, 112 is 1.
1. What is the GCD of 824, 389, 106, 112?
GCD of given numbers 824, 389, 106, 112 is 1
2. How to calculate the greatest common divisor of 824, 389, 106, 112?
We can find the highest common divisor of 824, 389, 106, 112 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 824, 389, 106, 112 i.e 1.
3. How can I use the GCD of 824, 389, 106, 112Calculator?
Out the numbers 824, 389, 106, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.