Online GCD Calculator is useful to find the GCD of 312, 538, 755, 288 quickly. Get the easiest ways to solve the greatest common divisor of 312, 538, 755, 288 i.e 1 in different methods as follows.
Given Input numbers are 312, 538, 755, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (312, 538, 755, 288) = 1.
Given numbers are 312, 538, 755, 288
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 538 are 2 x 269
Prime factors of 755 are 5 x 151
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 538, 755, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 538) = 83928
GCD(312, 538) = ( 312 x 538 ) / 83928
= 312 / 538
= 312
Step2:
LCM(2, 755) = 1510
GCD(2, 755) = ( 2 x 755 ) / 1510
= 2 / 755
= 2
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 312, 538, 755, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 538, 755, 288
The greatest common divisor of numbers 312, 538, 755, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 538, 755, 288 is 1.
1. What is the GCD of 312, 538, 755, 288?
GCD of given numbers 312, 538, 755, 288 is 1
2. How to calculate the greatest common divisor of 312, 538, 755, 288?
We can find the highest common divisor of 312, 538, 755, 288 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 312, 538, 755, 288 i.e 1.
3. How can I use the GCD of 312, 538, 755, 288Calculator?
Out the numbers 312, 538, 755, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.