Online GCD Calculator is useful to find the GCD of 879, 105, 989 quickly. Get the easiest ways to solve the greatest common divisor of 879, 105, 989 i.e 1 in different methods as follows.
Given Input numbers are 879, 105, 989
In the factoring method, we have to find the divisors of all numbers
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
GCD of numbers is the greatest common divisor
So, the GCD (879, 105, 989) = 1.
Given numbers are 879, 105, 989
The list of prime factors of all numbers are
Prime factors of 879 are 3 x 293
Prime factors of 105 are 3 x 5 x 7
Prime factors of 989 are 23 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 879, 105, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(879, 105) = 30765
GCD(879, 105) = ( 879 x 105 ) / 30765
= 879 / 105
= 879
Step2:
LCM(3, 989) = 2967
GCD(3, 989) = ( 3 x 989 ) / 2967
= 3 / 989
= 3
So, Greatest Common Divisor of 879, 105, 989 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 879, 105, 989
The greatest common divisor of numbers 879, 105, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 879, 105, 989 is 1.
1. What is the GCD of 879, 105, 989?
GCD of given numbers 879, 105, 989 is 1
2. How to calculate the greatest common divisor of 879, 105, 989?
We can find the highest common divisor of 879, 105, 989 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 879, 105, 989 i.e 1.
3. How can I use the GCD of 879, 105, 989Calculator?
Out the numbers 879, 105, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.