Online GCD Calculator is useful to find the GCD of 322, 460, 122, 687 quickly. Get the easiest ways to solve the greatest common divisor of 322, 460, 122, 687 i.e 1 in different methods as follows.
Given Input numbers are 322, 460, 122, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (322, 460, 122, 687) = 1.
Given numbers are 322, 460, 122, 687
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 122 are 2 x 61
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 322, 460, 122, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 460) = 3220
GCD(322, 460) = ( 322 x 460 ) / 3220
= 322 / 460
= 322
Step2:
LCM(46, 122) = 2806
GCD(46, 122) = ( 46 x 122 ) / 2806
= 46 / 122
= 46
Step3:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
So, Greatest Common Divisor of 322, 460, 122, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 460, 122, 687
The greatest common divisor of numbers 322, 460, 122, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 460, 122, 687 is 1.
1. What is the GCD of 322, 460, 122, 687?
GCD of given numbers 322, 460, 122, 687 is 1
2. How to calculate the greatest common divisor of 322, 460, 122, 687?
We can find the highest common divisor of 322, 460, 122, 687 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 322, 460, 122, 687 i.e 1.
3. How can I use the GCD of 322, 460, 122, 687Calculator?
Out the numbers 322, 460, 122, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.