Online GCD Calculator is useful to find the GCD of 996, 600, 369, 305 quickly. Get the easiest ways to solve the greatest common divisor of 996, 600, 369, 305 i.e 1 in different methods as follows.
Given Input numbers are 996, 600, 369, 305
In the factoring method, we have to find the divisors of all numbers
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
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 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
GCD of numbers is the greatest common divisor
So, the GCD (996, 600, 369, 305) = 1.
Given numbers are 996, 600, 369, 305
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 369 are 3 x 3 x 41
Prime factors of 305 are 5 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 996, 600, 369, 305
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 600) = 49800
GCD(996, 600) = ( 996 x 600 ) / 49800
= 996 / 600
= 996
Step2:
LCM(12, 369) = 1476
GCD(12, 369) = ( 12 x 369 ) / 1476
= 12 / 369
= 12
Step3:
LCM(3, 305) = 915
GCD(3, 305) = ( 3 x 305 ) / 915
= 3 / 305
= 3
So, Greatest Common Divisor of 996, 600, 369, 305 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 600, 369, 305
The greatest common divisor of numbers 996, 600, 369, 305 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 600, 369, 305 is 1.
1. What is the GCD of 996, 600, 369, 305?
GCD of given numbers 996, 600, 369, 305 is 1
2. How to calculate the greatest common divisor of 996, 600, 369, 305?
We can find the highest common divisor of 996, 600, 369, 305 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 996, 600, 369, 305 i.e 1.
3. How can I use the GCD of 996, 600, 369, 305Calculator?
Out the numbers 996, 600, 369, 305 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.