Online GCD Calculator is useful to find the GCD of 164, 687, 426, 114 quickly. Get the easiest ways to solve the greatest common divisor of 164, 687, 426, 114 i.e 1 in different methods as follows.
Given Input numbers are 164, 687, 426, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (164, 687, 426, 114) = 1.
Given numbers are 164, 687, 426, 114
The list of prime factors of all numbers are
Prime factors of 164 are 2 x 2 x 41
Prime factors of 687 are 3 x 229
Prime factors of 426 are 2 x 3 x 71
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 164, 687, 426, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(164, 687) = 112668
GCD(164, 687) = ( 164 x 687 ) / 112668
= 164 / 687
= 164
Step2:
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
= 1 / 426
= 1
Step3:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 164, 687, 426, 114 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 164, 687, 426, 114
The greatest common divisor of numbers 164, 687, 426, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 687, 426, 114 is 1.
1. What is the GCD of 164, 687, 426, 114?
GCD of given numbers 164, 687, 426, 114 is 1
2. How to calculate the greatest common divisor of 164, 687, 426, 114?
We can find the highest common divisor of 164, 687, 426, 114 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 164, 687, 426, 114 i.e 1.
3. How can I use the GCD of 164, 687, 426, 114Calculator?
Out the numbers 164, 687, 426, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.