Online GCD Calculator is useful to find the GCD of 135, 568, 360, 322 quickly. Get the easiest ways to solve the greatest common divisor of 135, 568, 360, 322 i.e 1 in different methods as follows.
Given Input numbers are 135, 568, 360, 322
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 568 :
The positive integer divisors of 568 that completely divides 568 are.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (135, 568, 360, 322) = 1.
Given numbers are 135, 568, 360, 322
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 568 are 2 x 2 x 2 x 71
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 322 are 2 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 568, 360, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 568) = 76680
GCD(135, 568) = ( 135 x 568 ) / 76680
= 135 / 568
= 135
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
= 1 / 322
= 1
So, Greatest Common Divisor of 135, 568, 360, 322 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 568, 360, 322
The greatest common divisor of numbers 135, 568, 360, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 568, 360, 322 is 1.
1. What is the GCD of 135, 568, 360, 322?
GCD of given numbers 135, 568, 360, 322 is 1
2. How to calculate the greatest common divisor of 135, 568, 360, 322?
We can find the highest common divisor of 135, 568, 360, 322 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 135, 568, 360, 322 i.e 1.
3. How can I use the GCD of 135, 568, 360, 322Calculator?
Out the numbers 135, 568, 360, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.