Online GCD Calculator is useful to find the GCD of 567, 960, 920, 609 quickly. Get the easiest ways to solve the greatest common divisor of 567, 960, 920, 609 i.e 1 in different methods as follows.
Given Input numbers are 567, 960, 920, 609
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 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
GCD of numbers is the greatest common divisor
So, the GCD (567, 960, 920, 609) = 1.
Given numbers are 567, 960, 920, 609
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 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 609 are 3 x 7 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 567, 960, 920, 609
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 960) = 181440
GCD(567, 960) = ( 567 x 960 ) / 181440
= 567 / 960
= 567
Step2:
LCM(3, 920) = 2760
GCD(3, 920) = ( 3 x 920 ) / 2760
= 3 / 920
= 3
Step3:
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
= 1 / 609
= 1
So, Greatest Common Divisor of 567, 960, 920, 609 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 960, 920, 609
The greatest common divisor of numbers 567, 960, 920, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 960, 920, 609 is 1.
1. What is the GCD of 567, 960, 920, 609?
GCD of given numbers 567, 960, 920, 609 is 1
2. How to calculate the greatest common divisor of 567, 960, 920, 609?
We can find the highest common divisor of 567, 960, 920, 609 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, 960, 920, 609 i.e 1.
3. How can I use the GCD of 567, 960, 920, 609Calculator?
Out the numbers 567, 960, 920, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.