Online GCD Calculator is useful to find the GCD of 320, 364, 431, 938 quickly. Get the easiest ways to solve the greatest common divisor of 320, 364, 431, 938 i.e 1 in different methods as follows.
Given Input numbers are 320, 364, 431, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
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
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (320, 364, 431, 938) = 1.
Given numbers are 320, 364, 431, 938
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 431 are 431
Prime factors of 938 are 2 x 7 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 320, 364, 431, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 364) = 29120
GCD(320, 364) = ( 320 x 364 ) / 29120
= 320 / 364
= 320
Step2:
LCM(4, 431) = 1724
GCD(4, 431) = ( 4 x 431 ) / 1724
= 4 / 431
= 4
Step3:
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
= 1 / 938
= 1
So, Greatest Common Divisor of 320, 364, 431, 938 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 364, 431, 938
The greatest common divisor of numbers 320, 364, 431, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 364, 431, 938 is 1.
1. What is the GCD of 320, 364, 431, 938?
GCD of given numbers 320, 364, 431, 938 is 1
2. How to calculate the greatest common divisor of 320, 364, 431, 938?
We can find the highest common divisor of 320, 364, 431, 938 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 320, 364, 431, 938 i.e 1.
3. How can I use the GCD of 320, 364, 431, 938Calculator?
Out the numbers 320, 364, 431, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.