Online GCD Calculator is useful to find the GCD of 422, 824, 789, 992 quickly. Get the easiest ways to solve the greatest common divisor of 422, 824, 789, 992 i.e 1 in different methods as follows.
Given Input numbers are 422, 824, 789, 992
In the factoring method, we have to find the divisors of all numbers
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
GCD of numbers is the greatest common divisor
So, the GCD (422, 824, 789, 992) = 1.
Given numbers are 422, 824, 789, 992
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 789 are 3 x 263
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 422, 824, 789, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 824) = 173864
GCD(422, 824) = ( 422 x 824 ) / 173864
= 422 / 824
= 422
Step2:
LCM(2, 789) = 1578
GCD(2, 789) = ( 2 x 789 ) / 1578
= 2 / 789
= 2
Step3:
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
= 1 / 992
= 1
So, Greatest Common Divisor of 422, 824, 789, 992 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 824, 789, 992
The greatest common divisor of numbers 422, 824, 789, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 824, 789, 992 is 1.
1. What is the GCD of 422, 824, 789, 992?
GCD of given numbers 422, 824, 789, 992 is 1
2. How to calculate the greatest common divisor of 422, 824, 789, 992?
We can find the highest common divisor of 422, 824, 789, 992 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 422, 824, 789, 992 i.e 1.
3. How can I use the GCD of 422, 824, 789, 992Calculator?
Out the numbers 422, 824, 789, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.