Online GCD Calculator is useful to find the GCD of 600, 268, 330, 732 quickly. Get the easiest ways to solve the greatest common divisor of 600, 268, 330, 732 i.e 2 in different methods as follows.
Given Input numbers are 600, 268, 330, 732
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 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
GCD of numbers is the greatest common divisor
So, the GCD (600, 268, 330, 732) = 2.
Given numbers are 600, 268, 330, 732
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 268 are 2 x 2 x 67
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 732 are 2 x 2 x 3 x 61
The highest common occurrence is 21
Therefore, GCD of 600, 268, 330, 732 is 2.
Given numbers are 600, 268, 330, 732
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 268) = 40200
GCD(600, 268) = ( 600 x 268 ) / 40200
= 600 / 268
= 600
Step2:
LCM(4, 330) = 660
GCD(4, 330) = ( 4 x 330 ) / 660
= 4 / 330
= 4
Step3:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
So, Greatest Common Divisor of 600, 268, 330, 732 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 268, 330, 732
The greatest common divisor of numbers 600, 268, 330, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 268, 330, 732 is 2.
1. What is the GCD of 600, 268, 330, 732?
GCD of given numbers 600, 268, 330, 732 is 2
2. How to calculate the greatest common divisor of 600, 268, 330, 732?
We can find the highest common divisor of 600, 268, 330, 732 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, 268, 330, 732 i.e 2.
3. How can I use the GCD of 600, 268, 330, 732Calculator?
Out the numbers 600, 268, 330, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.