Online GCD Calculator is useful to find the GCD of 813, 228, 690, 555 quickly. Get the easiest ways to solve the greatest common divisor of 813, 228, 690, 555 i.e 3 in different methods as follows.
Given Input numbers are 813, 228, 690, 555
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 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
GCD of numbers is the greatest common divisor
So, the GCD (813, 228, 690, 555) = 3.
Given numbers are 813, 228, 690, 555
The list of prime factors of all numbers are
Prime factors of 813 are 3 x 271
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 555 are 3 x 5 x 37
The highest common occurrence is 31
Therefore, GCD of 813, 228, 690, 555 is 3.
Given numbers are 813, 228, 690, 555
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(813, 228) = 61788
GCD(813, 228) = ( 813 x 228 ) / 61788
= 813 / 228
= 813
Step2:
LCM(3, 690) = 690
GCD(3, 690) = ( 3 x 690 ) / 690
= 3 / 690
= 3
Step3:
LCM(3, 555) = 555
GCD(3, 555) = ( 3 x 555 ) / 555
= 3 / 555
= 3
So, Greatest Common Divisor of 813, 228, 690, 555 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 813, 228, 690, 555
The greatest common divisor of numbers 813, 228, 690, 555 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 228, 690, 555 is 3.
1. What is the GCD of 813, 228, 690, 555?
GCD of given numbers 813, 228, 690, 555 is 3
2. How to calculate the greatest common divisor of 813, 228, 690, 555?
We can find the highest common divisor of 813, 228, 690, 555 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, 228, 690, 555 i.e 3.
3. How can I use the GCD of 813, 228, 690, 555Calculator?
Out the numbers 813, 228, 690, 555 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.