Online GCD Calculator is useful to find the GCD of 600, 717, 924, 225 quickly. Get the easiest ways to solve the greatest common divisor of 600, 717, 924, 225 i.e 3 in different methods as follows.
Given Input numbers are 600, 717, 924, 225
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 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (600, 717, 924, 225) = 3.
Given numbers are 600, 717, 924, 225
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 717 are 3 x 239
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 600, 717, 924, 225 is 3.
Given numbers are 600, 717, 924, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 717) = 143400
GCD(600, 717) = ( 600 x 717 ) / 143400
= 600 / 717
= 600
Step2:
LCM(3, 924) = 924
GCD(3, 924) = ( 3 x 924 ) / 924
= 3 / 924
= 3
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 600, 717, 924, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 717, 924, 225
The greatest common divisor of numbers 600, 717, 924, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 717, 924, 225 is 3.
1. What is the GCD of 600, 717, 924, 225?
GCD of given numbers 600, 717, 924, 225 is 3
2. How to calculate the greatest common divisor of 600, 717, 924, 225?
We can find the highest common divisor of 600, 717, 924, 225 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, 717, 924, 225 i.e 3.
3. How can I use the GCD of 600, 717, 924, 225Calculator?
Out the numbers 600, 717, 924, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.