Online GCD Calculator is useful to find the GCD of 675, 867, 512, 312 quickly. Get the easiest ways to solve the greatest common divisor of 675, 867, 512, 312 i.e 1 in different methods as follows.
Given Input numbers are 675, 867, 512, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
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
GCD of numbers is the greatest common divisor
So, the GCD (675, 867, 512, 312) = 1.
Given numbers are 675, 867, 512, 312
The list of prime factors of all numbers are
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 867 are 3 x 17 x 17
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 675, 867, 512, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 867) = 195075
GCD(675, 867) = ( 675 x 867 ) / 195075
= 675 / 867
= 675
Step2:
LCM(3, 512) = 1536
GCD(3, 512) = ( 3 x 512 ) / 1536
= 3 / 512
= 3
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 675, 867, 512, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 867, 512, 312
The greatest common divisor of numbers 675, 867, 512, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 867, 512, 312 is 1.
1. What is the GCD of 675, 867, 512, 312?
GCD of given numbers 675, 867, 512, 312 is 1
2. How to calculate the greatest common divisor of 675, 867, 512, 312?
We can find the highest common divisor of 675, 867, 512, 312 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 675, 867, 512, 312 i.e 1.
3. How can I use the GCD of 675, 867, 512, 312Calculator?
Out the numbers 675, 867, 512, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.