Online GCD Calculator is useful to find the GCD of 324, 567, 160, 200 quickly. Get the easiest ways to solve the greatest common divisor of 324, 567, 160, 200 i.e 1 in different methods as follows.
Given Input numbers are 324, 567, 160, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (324, 567, 160, 200) = 1.
Given numbers are 324, 567, 160, 200
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 324, 567, 160, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 567) = 2268
GCD(324, 567) = ( 324 x 567 ) / 2268
= 324 / 567
= 324
Step2:
LCM(81, 160) = 12960
GCD(81, 160) = ( 81 x 160 ) / 12960
= 81 / 160
= 81
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 324, 567, 160, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 567, 160, 200
The greatest common divisor of numbers 324, 567, 160, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 567, 160, 200 is 1.
1. What is the GCD of 324, 567, 160, 200?
GCD of given numbers 324, 567, 160, 200 is 1
2. How to calculate the greatest common divisor of 324, 567, 160, 200?
We can find the highest common divisor of 324, 567, 160, 200 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 324, 567, 160, 200 i.e 1.
3. How can I use the GCD of 324, 567, 160, 200Calculator?
Out the numbers 324, 567, 160, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.