Online GCD Calculator is useful to find the GCD of 567, 480, 204, 109 quickly. Get the easiest ways to solve the greatest common divisor of 567, 480, 204, 109 i.e 1 in different methods as follows.
Given Input numbers are 567, 480, 204, 109
In the factoring method, we have to find the divisors of all numbers
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 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (567, 480, 204, 109) = 1.
Given numbers are 567, 480, 204, 109
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 567, 480, 204, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 480) = 90720
GCD(567, 480) = ( 567 x 480 ) / 90720
= 567 / 480
= 567
Step2:
LCM(3, 204) = 204
GCD(3, 204) = ( 3 x 204 ) / 204
= 3 / 204
= 3
Step3:
LCM(3, 109) = 327
GCD(3, 109) = ( 3 x 109 ) / 327
= 3 / 109
= 3
So, Greatest Common Divisor of 567, 480, 204, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 480, 204, 109
The greatest common divisor of numbers 567, 480, 204, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 480, 204, 109 is 1.
1. What is the GCD of 567, 480, 204, 109?
GCD of given numbers 567, 480, 204, 109 is 1
2. How to calculate the greatest common divisor of 567, 480, 204, 109?
We can find the highest common divisor of 567, 480, 204, 109 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 567, 480, 204, 109 i.e 1.
3. How can I use the GCD of 567, 480, 204, 109Calculator?
Out the numbers 567, 480, 204, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.