Online GCD Calculator is useful to find the GCD of 312, 239, 341, 920 quickly. Get the easiest ways to solve the greatest common divisor of 312, 239, 341, 920 i.e 1 in different methods as follows.
Given Input numbers are 312, 239, 341, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 239 :
The positive integer divisors of 239 that completely divides 239 are.
1, 239
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (312, 239, 341, 920) = 1.
Given numbers are 312, 239, 341, 920
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 239 are 239
Prime factors of 341 are 11 x 31
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 239, 341, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 239) = 74568
GCD(312, 239) = ( 312 x 239 ) / 74568
= 312 / 239
= 312
Step2:
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
= 1 / 341
= 1
Step3:
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
= 1 / 920
= 1
So, Greatest Common Divisor of 312, 239, 341, 920 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 239, 341, 920
The greatest common divisor of numbers 312, 239, 341, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 239, 341, 920 is 1.
1. What is the GCD of 312, 239, 341, 920?
GCD of given numbers 312, 239, 341, 920 is 1
2. How to calculate the greatest common divisor of 312, 239, 341, 920?
We can find the highest common divisor of 312, 239, 341, 920 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 312, 239, 341, 920 i.e 1.
3. How can I use the GCD of 312, 239, 341, 920Calculator?
Out the numbers 312, 239, 341, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.