Online GCD Calculator is useful to find the GCD of 993, 660, 814, 708 quickly. Get the easiest ways to solve the greatest common divisor of 993, 660, 814, 708 i.e 1 in different methods as follows.
Given Input numbers are 993, 660, 814, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (993, 660, 814, 708) = 1.
Given numbers are 993, 660, 814, 708
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 814 are 2 x 11 x 37
Prime factors of 708 are 2 x 2 x 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 993, 660, 814, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 660) = 218460
GCD(993, 660) = ( 993 x 660 ) / 218460
= 993 / 660
= 993
Step2:
LCM(3, 814) = 2442
GCD(3, 814) = ( 3 x 814 ) / 2442
= 3 / 814
= 3
Step3:
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
= 1 / 708
= 1
So, Greatest Common Divisor of 993, 660, 814, 708 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 993, 660, 814, 708
The greatest common divisor of numbers 993, 660, 814, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 660, 814, 708 is 1.
1. What is the GCD of 993, 660, 814, 708?
GCD of given numbers 993, 660, 814, 708 is 1
2. How to calculate the greatest common divisor of 993, 660, 814, 708?
We can find the highest common divisor of 993, 660, 814, 708 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 993, 660, 814, 708 i.e 1.
3. How can I use the GCD of 993, 660, 814, 708Calculator?
Out the numbers 993, 660, 814, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.