Online GCD Calculator is useful to find the GCD of 308, 360, 903, 828 quickly. Get the easiest ways to solve the greatest common divisor of 308, 360, 903, 828 i.e 1 in different methods as follows.
Given Input numbers are 308, 360, 903, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (308, 360, 903, 828) = 1.
Given numbers are 308, 360, 903, 828
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 903 are 3 x 7 x 43
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 308, 360, 903, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 360) = 27720
GCD(308, 360) = ( 308 x 360 ) / 27720
= 308 / 360
= 308
Step2:
LCM(4, 903) = 3612
GCD(4, 903) = ( 4 x 903 ) / 3612
= 4 / 903
= 4
Step3:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
So, Greatest Common Divisor of 308, 360, 903, 828 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 360, 903, 828
The greatest common divisor of numbers 308, 360, 903, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 360, 903, 828 is 1.
1. What is the GCD of 308, 360, 903, 828?
GCD of given numbers 308, 360, 903, 828 is 1
2. How to calculate the greatest common divisor of 308, 360, 903, 828?
We can find the highest common divisor of 308, 360, 903, 828 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 308, 360, 903, 828 i.e 1.
3. How can I use the GCD of 308, 360, 903, 828Calculator?
Out the numbers 308, 360, 903, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.