Online GCD Calculator is useful to find the GCD of 842, 216, 344, 993 quickly. Get the easiest ways to solve the greatest common divisor of 842, 216, 344, 993 i.e 1 in different methods as follows.
Given Input numbers are 842, 216, 344, 993
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
GCD of numbers is the greatest common divisor
So, the GCD (842, 216, 344, 993) = 1.
Given numbers are 842, 216, 344, 993
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 993 are 3 x 331
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 842, 216, 344, 993
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 216) = 90936
GCD(842, 216) = ( 842 x 216 ) / 90936
= 842 / 216
= 842
Step2:
LCM(2, 344) = 344
GCD(2, 344) = ( 2 x 344 ) / 344
= 2 / 344
= 2
Step3:
LCM(2, 993) = 1986
GCD(2, 993) = ( 2 x 993 ) / 1986
= 2 / 993
= 2
So, Greatest Common Divisor of 842, 216, 344, 993 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 216, 344, 993
The greatest common divisor of numbers 842, 216, 344, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 216, 344, 993 is 1.
1. What is the GCD of 842, 216, 344, 993?
GCD of given numbers 842, 216, 344, 993 is 1
2. How to calculate the greatest common divisor of 842, 216, 344, 993?
We can find the highest common divisor of 842, 216, 344, 993 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 842, 216, 344, 993 i.e 1.
3. How can I use the GCD of 842, 216, 344, 993Calculator?
Out the numbers 842, 216, 344, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.