Online GCD Calculator is useful to find the GCD of 820, 338, 403, 984 quickly. Get the easiest ways to solve the greatest common divisor of 820, 338, 403, 984 i.e 1 in different methods as follows.
Given Input numbers are 820, 338, 403, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 403 :
The positive integer divisors of 403 that completely divides 403 are.
1, 13, 31, 403
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
GCD of numbers is the greatest common divisor
So, the GCD (820, 338, 403, 984) = 1.
Given numbers are 820, 338, 403, 984
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 338 are 2 x 13 x 13
Prime factors of 403 are 13 x 31
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 338, 403, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 338) = 138580
GCD(820, 338) = ( 820 x 338 ) / 138580
= 820 / 338
= 820
Step2:
LCM(2, 403) = 806
GCD(2, 403) = ( 2 x 403 ) / 806
= 2 / 403
= 2
Step3:
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
= 1 / 984
= 1
So, Greatest Common Divisor of 820, 338, 403, 984 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 338, 403, 984
The greatest common divisor of numbers 820, 338, 403, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 338, 403, 984 is 1.
1. What is the GCD of 820, 338, 403, 984?
GCD of given numbers 820, 338, 403, 984 is 1
2. How to calculate the greatest common divisor of 820, 338, 403, 984?
We can find the highest common divisor of 820, 338, 403, 984 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 820, 338, 403, 984 i.e 1.
3. How can I use the GCD of 820, 338, 403, 984Calculator?
Out the numbers 820, 338, 403, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.