Online GCD Calculator is useful to find the GCD of 600, 912, 300 quickly. Get the easiest ways to solve the greatest common divisor of 600, 912, 300 i.e 12 in different methods as follows.
Given Input numbers are 600, 912, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
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 (600, 912, 300) = 12.
Given numbers are 600, 912, 300
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 22 x 31
Therefore, GCD of 600, 912, 300 is 12.
Given numbers are 600, 912, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 912) = 22800
GCD(600, 912) = ( 600 x 912 ) / 22800
= 600 / 912
= 600
Step2:
LCM(24, 300) = 600
GCD(24, 300) = ( 24 x 300 ) / 600
= 24 / 300
= 24
So, Greatest Common Divisor of 600, 912, 300 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 912, 300
The greatest common divisor of numbers 600, 912, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 912, 300 is 12.
1. What is the GCD of 600, 912, 300?
GCD of given numbers 600, 912, 300 is 12
2. How to calculate the greatest common divisor of 600, 912, 300?
We can find the highest common divisor of 600, 912, 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 600, 912, 300 i.e 12.
3. How can I use the GCD of 600, 912, 300Calculator?
Out the numbers 600, 912, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.