Online GCD Calculator is useful to find the GCD of 184, 375, 420, 315 quickly. Get the easiest ways to solve the greatest common divisor of 184, 375, 420, 315 i.e 1 in different methods as follows.
Given Input numbers are 184, 375, 420, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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 (184, 375, 420, 315) = 1.
Given numbers are 184, 375, 420, 315
The list of prime factors of all numbers are
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
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 184, 375, 420, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(184, 375) = 69000
GCD(184, 375) = ( 184 x 375 ) / 69000
= 184 / 375
= 184
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 184, 375, 420, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 184, 375, 420, 315
The greatest common divisor of numbers 184, 375, 420, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 375, 420, 315 is 1.
1. What is the GCD of 184, 375, 420, 315?
GCD of given numbers 184, 375, 420, 315 is 1
2. How to calculate the greatest common divisor of 184, 375, 420, 315?
We can find the highest common divisor of 184, 375, 420, 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 184, 375, 420, 315 i.e 1.
3. How can I use the GCD of 184, 375, 420, 315Calculator?
Out the numbers 184, 375, 420, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.