Online GCD Calculator is useful to find the GCD of 867, 476, 312, 465 quickly. Get the easiest ways to solve the greatest common divisor of 867, 476, 312, 465 i.e 1 in different methods as follows.
Given Input numbers are 867, 476, 312, 465
In the factoring method, we have to find the divisors of all numbers
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
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 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (867, 476, 312, 465) = 1.
Given numbers are 867, 476, 312, 465
The list of prime factors of all numbers are
Prime factors of 867 are 3 x 17 x 17
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 465 are 3 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 867, 476, 312, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(867, 476) = 24276
GCD(867, 476) = ( 867 x 476 ) / 24276
= 867 / 476
= 867
Step2:
LCM(17, 312) = 5304
GCD(17, 312) = ( 17 x 312 ) / 5304
= 17 / 312
= 17
Step3:
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
= 1 / 465
= 1
So, Greatest Common Divisor of 867, 476, 312, 465 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 867, 476, 312, 465
The greatest common divisor of numbers 867, 476, 312, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 476, 312, 465 is 1.
1. What is the GCD of 867, 476, 312, 465?
GCD of given numbers 867, 476, 312, 465 is 1
2. How to calculate the greatest common divisor of 867, 476, 312, 465?
We can find the highest common divisor of 867, 476, 312, 465 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 867, 476, 312, 465 i.e 1.
3. How can I use the GCD of 867, 476, 312, 465Calculator?
Out the numbers 867, 476, 312, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.