Online GCD Calculator is useful to find the GCD of 465, 312, 966, 238 quickly. Get the easiest ways to solve the greatest common divisor of 465, 312, 966, 238 i.e 1 in different methods as follows.
Given Input numbers are 465, 312, 966, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
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 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (465, 312, 966, 238) = 1.
Given numbers are 465, 312, 966, 238
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 238 are 2 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 465, 312, 966, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 312) = 48360
GCD(465, 312) = ( 465 x 312 ) / 48360
= 465 / 312
= 465
Step2:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
Step3:
LCM(3, 238) = 714
GCD(3, 238) = ( 3 x 238 ) / 714
= 3 / 238
= 3
So, Greatest Common Divisor of 465, 312, 966, 238 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 312, 966, 238
The greatest common divisor of numbers 465, 312, 966, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 312, 966, 238 is 1.
1. What is the GCD of 465, 312, 966, 238?
GCD of given numbers 465, 312, 966, 238 is 1
2. How to calculate the greatest common divisor of 465, 312, 966, 238?
We can find the highest common divisor of 465, 312, 966, 238 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 465, 312, 966, 238 i.e 1.
3. How can I use the GCD of 465, 312, 966, 238Calculator?
Out the numbers 465, 312, 966, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.