Online GCD Calculator is useful to find the GCD of 861, 321, 422, 344 quickly. Get the easiest ways to solve the greatest common divisor of 861, 321, 422, 344 i.e 1 in different methods as follows.
Given Input numbers are 861, 321, 422, 344
In the factoring method, we have to find the divisors of all numbers
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (861, 321, 422, 344) = 1.
Given numbers are 861, 321, 422, 344
The list of prime factors of all numbers are
Prime factors of 861 are 3 x 7 x 41
Prime factors of 321 are 3 x 107
Prime factors of 422 are 2 x 211
Prime factors of 344 are 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 861, 321, 422, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(861, 321) = 92127
GCD(861, 321) = ( 861 x 321 ) / 92127
= 861 / 321
= 861
Step2:
LCM(3, 422) = 1266
GCD(3, 422) = ( 3 x 422 ) / 1266
= 3 / 422
= 3
Step3:
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
= 1 / 344
= 1
So, Greatest Common Divisor of 861, 321, 422, 344 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 861, 321, 422, 344
The greatest common divisor of numbers 861, 321, 422, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 321, 422, 344 is 1.
1. What is the GCD of 861, 321, 422, 344?
GCD of given numbers 861, 321, 422, 344 is 1
2. How to calculate the greatest common divisor of 861, 321, 422, 344?
We can find the highest common divisor of 861, 321, 422, 344 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 861, 321, 422, 344 i.e 1.
3. How can I use the GCD of 861, 321, 422, 344Calculator?
Out the numbers 861, 321, 422, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.