Online GCD Calculator is useful to find the GCD of 312, 872, 402, 303 quickly. Get the easiest ways to solve the greatest common divisor of 312, 872, 402, 303 i.e 1 in different methods as follows.
Given Input numbers are 312, 872, 402, 303
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 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
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 (312, 872, 402, 303) = 1.
Given numbers are 312, 872, 402, 303
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 872 are 2 x 2 x 2 x 109
Prime factors of 402 are 2 x 3 x 67
Prime factors of 303 are 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 872, 402, 303
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 872) = 34008
GCD(312, 872) = ( 312 x 872 ) / 34008
= 312 / 872
= 312
Step2:
LCM(8, 402) = 1608
GCD(8, 402) = ( 8 x 402 ) / 1608
= 8 / 402
= 8
Step3:
LCM(2, 303) = 606
GCD(2, 303) = ( 2 x 303 ) / 606
= 2 / 303
= 2
So, Greatest Common Divisor of 312, 872, 402, 303 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 872, 402, 303
The greatest common divisor of numbers 312, 872, 402, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 872, 402, 303 is 1.
1. What is the GCD of 312, 872, 402, 303?
GCD of given numbers 312, 872, 402, 303 is 1
2. How to calculate the greatest common divisor of 312, 872, 402, 303?
We can find the highest common divisor of 312, 872, 402, 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 312, 872, 402, 303 i.e 1.
3. How can I use the GCD of 312, 872, 402, 303Calculator?
Out the numbers 312, 872, 402, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.