Online GCD Calculator is useful to find the GCD of 858, 978, 993 quickly. Get the easiest ways to solve the greatest common divisor of 858, 978, 993 i.e 3 in different methods as follows.
Given Input numbers are 858, 978, 993
In the factoring method, we have to find the divisors of all numbers
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
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 (858, 978, 993) = 3.
Given numbers are 858, 978, 993
The list of prime factors of all numbers are
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 978 are 2 x 3 x 163
Prime factors of 993 are 3 x 331
The highest common occurrence is 31
Therefore, GCD of 858, 978, 993 is 3.
Given numbers are 858, 978, 993
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(858, 978) = 139854
GCD(858, 978) = ( 858 x 978 ) / 139854
= 858 / 978
= 858
Step2:
LCM(6, 993) = 1986
GCD(6, 993) = ( 6 x 993 ) / 1986
= 6 / 993
= 6
So, Greatest Common Divisor of 858, 978, 993 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 858, 978, 993
The greatest common divisor of numbers 858, 978, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 978, 993 is 3.
1. What is the GCD of 858, 978, 993?
GCD of given numbers 858, 978, 993 is 3
2. How to calculate the greatest common divisor of 858, 978, 993?
We can find the highest common divisor of 858, 978, 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 858, 978, 993 i.e 3.
3. How can I use the GCD of 858, 978, 993Calculator?
Out the numbers 858, 978, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.