Online GCD Calculator is useful to find the GCD of 960, 422, 321, 855 quickly. Get the easiest ways to solve the greatest common divisor of 960, 422, 321, 855 i.e 1 in different methods as follows.
Given Input numbers are 960, 422, 321, 855
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
GCD of numbers is the greatest common divisor
So, the GCD (960, 422, 321, 855) = 1.
Given numbers are 960, 422, 321, 855
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 422 are 2 x 211
Prime factors of 321 are 3 x 107
Prime factors of 855 are 3 x 3 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 960, 422, 321, 855
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 422) = 202560
GCD(960, 422) = ( 960 x 422 ) / 202560
= 960 / 422
= 960
Step2:
LCM(2, 321) = 642
GCD(2, 321) = ( 2 x 321 ) / 642
= 2 / 321
= 2
Step3:
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
= 1 / 855
= 1
So, Greatest Common Divisor of 960, 422, 321, 855 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 422, 321, 855
The greatest common divisor of numbers 960, 422, 321, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 422, 321, 855 is 1.
1. What is the GCD of 960, 422, 321, 855?
GCD of given numbers 960, 422, 321, 855 is 1
2. How to calculate the greatest common divisor of 960, 422, 321, 855?
We can find the highest common divisor of 960, 422, 321, 855 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 960, 422, 321, 855 i.e 1.
3. How can I use the GCD of 960, 422, 321, 855Calculator?
Out the numbers 960, 422, 321, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.