Online GCD Calculator is useful to find the GCD of 106, 861, 420, 167 quickly. Get the easiest ways to solve the greatest common divisor of 106, 861, 420, 167 i.e 1 in different methods as follows.
Given Input numbers are 106, 861, 420, 167
In the factoring method, we have to find the divisors of all numbers
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 167 :
The positive integer divisors of 167 that completely divides 167 are.
1, 167
GCD of numbers is the greatest common divisor
So, the GCD (106, 861, 420, 167) = 1.
Given numbers are 106, 861, 420, 167
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 861 are 3 x 7 x 41
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 167 are 167
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 106, 861, 420, 167
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 861) = 91266
GCD(106, 861) = ( 106 x 861 ) / 91266
= 106 / 861
= 106
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
= 1 / 167
= 1
So, Greatest Common Divisor of 106, 861, 420, 167 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 861, 420, 167
The greatest common divisor of numbers 106, 861, 420, 167 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 861, 420, 167 is 1.
1. What is the GCD of 106, 861, 420, 167?
GCD of given numbers 106, 861, 420, 167 is 1
2. How to calculate the greatest common divisor of 106, 861, 420, 167?
We can find the highest common divisor of 106, 861, 420, 167 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 106, 861, 420, 167 i.e 1.
3. How can I use the GCD of 106, 861, 420, 167Calculator?
Out the numbers 106, 861, 420, 167 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.