Online GCD Calculator is useful to find the GCD of 360, 681, 912, 303 quickly. Get the easiest ways to solve the greatest common divisor of 360, 681, 912, 303 i.e 3 in different methods as follows.
Given Input numbers are 360, 681, 912, 303
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
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 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
GCD of numbers is the greatest common divisor
So, the GCD (360, 681, 912, 303) = 3.
Given numbers are 360, 681, 912, 303
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 681 are 3 x 227
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 303 are 3 x 101
The highest common occurrence is 31
Therefore, GCD of 360, 681, 912, 303 is 3.
Given numbers are 360, 681, 912, 303
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 681) = 81720
GCD(360, 681) = ( 360 x 681 ) / 81720
= 360 / 681
= 360
Step2:
LCM(3, 912) = 912
GCD(3, 912) = ( 3 x 912 ) / 912
= 3 / 912
= 3
Step3:
LCM(3, 303) = 303
GCD(3, 303) = ( 3 x 303 ) / 303
= 3 / 303
= 3
So, Greatest Common Divisor of 360, 681, 912, 303 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 681, 912, 303
The greatest common divisor of numbers 360, 681, 912, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 681, 912, 303 is 3.
1. What is the GCD of 360, 681, 912, 303?
GCD of given numbers 360, 681, 912, 303 is 3
2. How to calculate the greatest common divisor of 360, 681, 912, 303?
We can find the highest common divisor of 360, 681, 912, 303 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 360, 681, 912, 303 i.e 3.
3. How can I use the GCD of 360, 681, 912, 303Calculator?
Out the numbers 360, 681, 912, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.