Online GCD Calculator is useful to find the GCD of 984, 420, 204, 823 quickly. Get the easiest ways to solve the greatest common divisor of 984, 420, 204, 823 i.e 1 in different methods as follows.
Given Input numbers are 984, 420, 204, 823
In the factoring method, we have to find the divisors of all numbers
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
GCD of numbers is the greatest common divisor
So, the GCD (984, 420, 204, 823) = 1.
Given numbers are 984, 420, 204, 823
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 823 are 823
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 984, 420, 204, 823
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 420) = 34440
GCD(984, 420) = ( 984 x 420 ) / 34440
= 984 / 420
= 984
Step2:
LCM(12, 204) = 204
GCD(12, 204) = ( 12 x 204 ) / 204
= 12 / 204
= 12
Step3:
LCM(12, 823) = 9876
GCD(12, 823) = ( 12 x 823 ) / 9876
= 12 / 823
= 12
So, Greatest Common Divisor of 984, 420, 204, 823 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 420, 204, 823
The greatest common divisor of numbers 984, 420, 204, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 420, 204, 823 is 1.
1. What is the GCD of 984, 420, 204, 823?
GCD of given numbers 984, 420, 204, 823 is 1
2. How to calculate the greatest common divisor of 984, 420, 204, 823?
We can find the highest common divisor of 984, 420, 204, 823 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 984, 420, 204, 823 i.e 1.
3. How can I use the GCD of 984, 420, 204, 823Calculator?
Out the numbers 984, 420, 204, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.