Online GCD Calculator is useful to find the GCD of 750, 600, 900 quickly. Get the easiest ways to solve the greatest common divisor of 750, 600, 900 i.e 150 in different methods as follows.
Given Input numbers are 750, 600, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (750, 600, 900) = 150.
Given numbers are 750, 600, 900
The list of prime factors of all numbers are
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21 x 31 x 52
Therefore, GCD of 750, 600, 900 is 150.
Given numbers are 750, 600, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 600) = 3000
GCD(750, 600) = ( 750 x 600 ) / 3000
= 750 / 600
= 750
Step2:
LCM(150, 900) = 900
GCD(150, 900) = ( 150 x 900 ) / 900
= 150 / 900
= 150
So, Greatest Common Divisor of 750, 600, 900 is 150
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 600, 900
The greatest common divisor of numbers 750, 600, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 600, 900 is 150.
1. What is the GCD of 750, 600, 900?
GCD of given numbers 750, 600, 900 is 150
2. How to calculate the greatest common divisor of 750, 600, 900?
We can find the highest common divisor of 750, 600, 900 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 750, 600, 900 i.e 150.
3. How can I use the GCD of 750, 600, 900Calculator?
Out the numbers 750, 600, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.