Online GCD Calculator is useful to find the GCD of 813, 384, 900, 423 quickly. Get the easiest ways to solve the greatest common divisor of 813, 384, 900, 423 i.e 3 in different methods as follows.
Given Input numbers are 813, 384, 900, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (813, 384, 900, 423) = 3.
Given numbers are 813, 384, 900, 423
The list of prime factors of all numbers are
Prime factors of 813 are 3 x 271
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 813, 384, 900, 423 is 3.
Given numbers are 813, 384, 900, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(813, 384) = 104064
GCD(813, 384) = ( 813 x 384 ) / 104064
= 813 / 384
= 813
Step2:
LCM(3, 900) = 900
GCD(3, 900) = ( 3 x 900 ) / 900
= 3 / 900
= 3
Step3:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
So, Greatest Common Divisor of 813, 384, 900, 423 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 813, 384, 900, 423
The greatest common divisor of numbers 813, 384, 900, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 384, 900, 423 is 3.
1. What is the GCD of 813, 384, 900, 423?
GCD of given numbers 813, 384, 900, 423 is 3
2. How to calculate the greatest common divisor of 813, 384, 900, 423?
We can find the highest common divisor of 813, 384, 900, 423 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 813, 384, 900, 423 i.e 3.
3. How can I use the GCD of 813, 384, 900, 423Calculator?
Out the numbers 813, 384, 900, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.