Online GCD Calculator is useful to find the GCD of 822, 354, 954, 993 quickly. Get the easiest ways to solve the greatest common divisor of 822, 354, 954, 993 i.e 3 in different methods as follows.
Given Input numbers are 822, 354, 954, 993
In the factoring method, we have to find the divisors of all numbers
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
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 (822, 354, 954, 993) = 3.
Given numbers are 822, 354, 954, 993
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 354 are 2 x 3 x 59
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 993 are 3 x 331
The highest common occurrence is 31
Therefore, GCD of 822, 354, 954, 993 is 3.
Given numbers are 822, 354, 954, 993
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 354) = 48498
GCD(822, 354) = ( 822 x 354 ) / 48498
= 822 / 354
= 822
Step2:
LCM(6, 954) = 954
GCD(6, 954) = ( 6 x 954 ) / 954
= 6 / 954
= 6
Step3:
LCM(6, 993) = 1986
GCD(6, 993) = ( 6 x 993 ) / 1986
= 6 / 993
= 6
So, Greatest Common Divisor of 822, 354, 954, 993 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 354, 954, 993
The greatest common divisor of numbers 822, 354, 954, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 354, 954, 993 is 3.
1. What is the GCD of 822, 354, 954, 993?
GCD of given numbers 822, 354, 954, 993 is 3
2. How to calculate the greatest common divisor of 822, 354, 954, 993?
We can find the highest common divisor of 822, 354, 954, 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 822, 354, 954, 993 i.e 3.
3. How can I use the GCD of 822, 354, 954, 993Calculator?
Out the numbers 822, 354, 954, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.