Online GCD Calculator is useful to find the GCD of 367, 916, 172, 315 quickly. Get the easiest ways to solve the greatest common divisor of 367, 916, 172, 315 i.e 1 in different methods as follows.
Given Input numbers are 367, 916, 172, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (367, 916, 172, 315) = 1.
Given numbers are 367, 916, 172, 315
The list of prime factors of all numbers are
Prime factors of 367 are 367
Prime factors of 916 are 2 x 2 x 229
Prime factors of 172 are 2 x 2 x 43
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 367, 916, 172, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(367, 916) = 336172
GCD(367, 916) = ( 367 x 916 ) / 336172
= 367 / 916
= 367
Step2:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 367, 916, 172, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 367, 916, 172, 315
The greatest common divisor of numbers 367, 916, 172, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 367, 916, 172, 315 is 1.
1. What is the GCD of 367, 916, 172, 315?
GCD of given numbers 367, 916, 172, 315 is 1
2. How to calculate the greatest common divisor of 367, 916, 172, 315?
We can find the highest common divisor of 367, 916, 172, 315 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 367, 916, 172, 315 i.e 1.
3. How can I use the GCD of 367, 916, 172, 315Calculator?
Out the numbers 367, 916, 172, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.