Online GCD Calculator is useful to find the GCD of 168, 600, 364, 315 quickly. Get the easiest ways to solve the greatest common divisor of 168, 600, 364, 315 i.e 1 in different methods as follows.
Given Input numbers are 168, 600, 364, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
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 (168, 600, 364, 315) = 1.
Given numbers are 168, 600, 364, 315
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 364 are 2 x 2 x 7 x 13
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 168, 600, 364, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 600) = 4200
GCD(168, 600) = ( 168 x 600 ) / 4200
= 168 / 600
= 168
Step2:
LCM(24, 364) = 2184
GCD(24, 364) = ( 24 x 364 ) / 2184
= 24 / 364
= 24
Step3:
LCM(4, 315) = 1260
GCD(4, 315) = ( 4 x 315 ) / 1260
= 4 / 315
= 4
So, Greatest Common Divisor of 168, 600, 364, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 600, 364, 315
The greatest common divisor of numbers 168, 600, 364, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 600, 364, 315 is 1.
1. What is the GCD of 168, 600, 364, 315?
GCD of given numbers 168, 600, 364, 315 is 1
2. How to calculate the greatest common divisor of 168, 600, 364, 315?
We can find the highest common divisor of 168, 600, 364, 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 168, 600, 364, 315 i.e 1.
3. How can I use the GCD of 168, 600, 364, 315Calculator?
Out the numbers 168, 600, 364, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.