Online GCD Calculator is useful to find the GCD of 213, 204, 618 quickly. Get the easiest ways to solve the greatest common divisor of 213, 204, 618 i.e 3 in different methods as follows.
Given Input numbers are 213, 204, 618
In the factoring method, we have to find the divisors of all numbers
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
GCD of numbers is the greatest common divisor
So, the GCD (213, 204, 618) = 3.
Given numbers are 213, 204, 618
The list of prime factors of all numbers are
Prime factors of 213 are 3 x 71
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 618 are 2 x 3 x 103
The highest common occurrence is 31
Therefore, GCD of 213, 204, 618 is 3.
Given numbers are 213, 204, 618
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(213, 204) = 14484
GCD(213, 204) = ( 213 x 204 ) / 14484
= 213 / 204
= 213
Step2:
LCM(3, 618) = 618
GCD(3, 618) = ( 3 x 618 ) / 618
= 3 / 618
= 3
So, Greatest Common Divisor of 213, 204, 618 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 213, 204, 618
The greatest common divisor of numbers 213, 204, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 204, 618 is 3.
1. What is the GCD of 213, 204, 618?
GCD of given numbers 213, 204, 618 is 3
2. How to calculate the greatest common divisor of 213, 204, 618?
We can find the highest common divisor of 213, 204, 618 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 213, 204, 618 i.e 3.
3. How can I use the GCD of 213, 204, 618Calculator?
Out the numbers 213, 204, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.