Online GCD Calculator is useful to find the GCD of 271, 323, 42, 320 quickly. Get the easiest ways to solve the greatest common divisor of 271, 323, 42, 320 i.e 1 in different methods as follows.
Given Input numbers are 271, 323, 42, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
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
GCD of numbers is the greatest common divisor
So, the GCD (271, 323, 42, 320) = 1.
Given numbers are 271, 323, 42, 320
The list of prime factors of all numbers are
Prime factors of 271 are 271
Prime factors of 323 are 17 x 19
Prime factors of 42 are 2 x 3 x 7
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 271, 323, 42, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(271, 323) = 87533
GCD(271, 323) = ( 271 x 323 ) / 87533
= 271 / 323
= 271
Step2:
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
= 1 / 42
= 1
Step3:
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
= 1 / 320
= 1
So, Greatest Common Divisor of 271, 323, 42, 320 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 271, 323, 42, 320
The greatest common divisor of numbers 271, 323, 42, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 323, 42, 320 is 1.
1. What is the GCD of 271, 323, 42, 320?
GCD of given numbers 271, 323, 42, 320 is 1
2. How to calculate the greatest common divisor of 271, 323, 42, 320?
We can find the highest common divisor of 271, 323, 42, 320 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 271, 323, 42, 320 i.e 1.
3. How can I use the GCD of 271, 323, 42, 320Calculator?
Out the numbers 271, 323, 42, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.