Online GCD Calculator is useful to find the GCD of 983, 167, 967, 105 quickly. Get the easiest ways to solve the greatest common divisor of 983, 167, 967, 105 i.e 1 in different methods as follows.
Given Input numbers are 983, 167, 967, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 983 :
The positive integer divisors of 983 that completely divides 983 are.
1, 983
Divisors of 167 :
The positive integer divisors of 167 that completely divides 167 are.
1, 167
Divisors of 967 :
The positive integer divisors of 967 that completely divides 967 are.
1, 967
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (983, 167, 967, 105) = 1.
Given numbers are 983, 167, 967, 105
The list of prime factors of all numbers are
Prime factors of 983 are 983
Prime factors of 167 are 167
Prime factors of 967 are 967
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 983, 167, 967, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(983, 167) = 164161
GCD(983, 167) = ( 983 x 167 ) / 164161
= 983 / 167
= 983
Step2:
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
= 1 / 967
= 1
Step3:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
So, Greatest Common Divisor of 983, 167, 967, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 983, 167, 967, 105
The greatest common divisor of numbers 983, 167, 967, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 983, 167, 967, 105 is 1.
1. What is the GCD of 983, 167, 967, 105?
GCD of given numbers 983, 167, 967, 105 is 1
2. How to calculate the greatest common divisor of 983, 167, 967, 105?
We can find the highest common divisor of 983, 167, 967, 105 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 983, 167, 967, 105 i.e 1.
3. How can I use the GCD of 983, 167, 967, 105Calculator?
Out the numbers 983, 167, 967, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.