Online GCD Calculator is useful to find the GCD of 322, 734, 687, 364 quickly. Get the easiest ways to solve the greatest common divisor of 322, 734, 687, 364 i.e 1 in different methods as follows.
Given Input numbers are 322, 734, 687, 364
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 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (322, 734, 687, 364) = 1.
Given numbers are 322, 734, 687, 364
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 734 are 2 x 367
Prime factors of 687 are 3 x 229
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 322, 734, 687, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 734) = 118174
GCD(322, 734) = ( 322 x 734 ) / 118174
= 322 / 734
= 322
Step2:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
Step3:
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
= 1 / 364
= 1
So, Greatest Common Divisor of 322, 734, 687, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 734, 687, 364
The greatest common divisor of numbers 322, 734, 687, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 734, 687, 364 is 1.
1. What is the GCD of 322, 734, 687, 364?
GCD of given numbers 322, 734, 687, 364 is 1
2. How to calculate the greatest common divisor of 322, 734, 687, 364?
We can find the highest common divisor of 322, 734, 687, 364 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, 734, 687, 364 i.e 1.
3. How can I use the GCD of 322, 734, 687, 364Calculator?
Out the numbers 322, 734, 687, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.