Online GCD Calculator is useful to find the GCD of 312, 357, 279, 915 quickly. Get the easiest ways to solve the greatest common divisor of 312, 357, 279, 915 i.e 3 in different methods as follows.
Given Input numbers are 312, 357, 279, 915
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 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
GCD of numbers is the greatest common divisor
So, the GCD (312, 357, 279, 915) = 3.
Given numbers are 312, 357, 279, 915
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 357 are 3 x 7 x 17
Prime factors of 279 are 3 x 3 x 31
Prime factors of 915 are 3 x 5 x 61
The highest common occurrence is 31
Therefore, GCD of 312, 357, 279, 915 is 3.
Given numbers are 312, 357, 279, 915
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 357) = 37128
GCD(312, 357) = ( 312 x 357 ) / 37128
= 312 / 357
= 312
Step2:
LCM(3, 279) = 279
GCD(3, 279) = ( 3 x 279 ) / 279
= 3 / 279
= 3
Step3:
LCM(3, 915) = 915
GCD(3, 915) = ( 3 x 915 ) / 915
= 3 / 915
= 3
So, Greatest Common Divisor of 312, 357, 279, 915 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 357, 279, 915
The greatest common divisor of numbers 312, 357, 279, 915 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 357, 279, 915 is 3.
1. What is the GCD of 312, 357, 279, 915?
GCD of given numbers 312, 357, 279, 915 is 3
2. How to calculate the greatest common divisor of 312, 357, 279, 915?
We can find the highest common divisor of 312, 357, 279, 915 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, 357, 279, 915 i.e 3.
3. How can I use the GCD of 312, 357, 279, 915Calculator?
Out the numbers 312, 357, 279, 915 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.