Online GCD Calculator is useful to find the GCD of 824, 959, 312, 422 quickly. Get the easiest ways to solve the greatest common divisor of 824, 959, 312, 422 i.e 1 in different methods as follows.
Given Input numbers are 824, 959, 312, 422
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 959 :
The positive integer divisors of 959 that completely divides 959 are.
1, 7, 137, 959
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 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (824, 959, 312, 422) = 1.
Given numbers are 824, 959, 312, 422
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 959 are 7 x 137
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 422 are 2 x 211
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 824, 959, 312, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 959) = 790216
GCD(824, 959) = ( 824 x 959 ) / 790216
= 824 / 959
= 824
Step2:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
Step3:
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
= 1 / 422
= 1
So, Greatest Common Divisor of 824, 959, 312, 422 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 959, 312, 422
The greatest common divisor of numbers 824, 959, 312, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 959, 312, 422 is 1.
1. What is the GCD of 824, 959, 312, 422?
GCD of given numbers 824, 959, 312, 422 is 1
2. How to calculate the greatest common divisor of 824, 959, 312, 422?
We can find the highest common divisor of 824, 959, 312, 422 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 824, 959, 312, 422 i.e 1.
3. How can I use the GCD of 824, 959, 312, 422Calculator?
Out the numbers 824, 959, 312, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.