Online GCD Calculator is useful to find the GCD of 345, 663, 213, 300 quickly. Get the easiest ways to solve the greatest common divisor of 345, 663, 213, 300 i.e 3 in different methods as follows.
Given Input numbers are 345, 663, 213, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (345, 663, 213, 300) = 3.
Given numbers are 345, 663, 213, 300
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 663 are 3 x 13 x 17
Prime factors of 213 are 3 x 71
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 345, 663, 213, 300 is 3.
Given numbers are 345, 663, 213, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 663) = 76245
GCD(345, 663) = ( 345 x 663 ) / 76245
= 345 / 663
= 345
Step2:
LCM(3, 213) = 213
GCD(3, 213) = ( 3 x 213 ) / 213
= 3 / 213
= 3
Step3:
LCM(3, 300) = 300
GCD(3, 300) = ( 3 x 300 ) / 300
= 3 / 300
= 3
So, Greatest Common Divisor of 345, 663, 213, 300 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 663, 213, 300
The greatest common divisor of numbers 345, 663, 213, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 663, 213, 300 is 3.
1. What is the GCD of 345, 663, 213, 300?
GCD of given numbers 345, 663, 213, 300 is 3
2. How to calculate the greatest common divisor of 345, 663, 213, 300?
We can find the highest common divisor of 345, 663, 213, 300 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 345, 663, 213, 300 i.e 3.
3. How can I use the GCD of 345, 663, 213, 300Calculator?
Out the numbers 345, 663, 213, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.