Online GCD Calculator is useful to find the GCD of 314, 922, 696, 361 quickly. Get the easiest ways to solve the greatest common divisor of 314, 922, 696, 361 i.e 1 in different methods as follows.
Given Input numbers are 314, 922, 696, 361
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
GCD of numbers is the greatest common divisor
So, the GCD (314, 922, 696, 361) = 1.
Given numbers are 314, 922, 696, 361
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 922 are 2 x 461
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 361 are 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 314, 922, 696, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 922) = 144754
GCD(314, 922) = ( 314 x 922 ) / 144754
= 314 / 922
= 314
Step2:
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
= 2 / 696
= 2
Step3:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
So, Greatest Common Divisor of 314, 922, 696, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 922, 696, 361
The greatest common divisor of numbers 314, 922, 696, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 922, 696, 361 is 1.
1. What is the GCD of 314, 922, 696, 361?
GCD of given numbers 314, 922, 696, 361 is 1
2. How to calculate the greatest common divisor of 314, 922, 696, 361?
We can find the highest common divisor of 314, 922, 696, 361 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 314, 922, 696, 361 i.e 1.
3. How can I use the GCD of 314, 922, 696, 361Calculator?
Out the numbers 314, 922, 696, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.