Online GCD Calculator is useful to find the GCD of 561, 584, 159, 156 quickly. Get the easiest ways to solve the greatest common divisor of 561, 584, 159, 156 i.e 1 in different methods as follows.
Given Input numbers are 561, 584, 159, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (561, 584, 159, 156) = 1.
Given numbers are 561, 584, 159, 156
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 159 are 3 x 53
Prime factors of 156 are 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 584, 159, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 584) = 327624
GCD(561, 584) = ( 561 x 584 ) / 327624
= 561 / 584
= 561
Step2:
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
= 1 / 159
= 1
Step3:
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
= 1 / 156
= 1
So, Greatest Common Divisor of 561, 584, 159, 156 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 584, 159, 156
The greatest common divisor of numbers 561, 584, 159, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 584, 159, 156 is 1.
1. What is the GCD of 561, 584, 159, 156?
GCD of given numbers 561, 584, 159, 156 is 1
2. How to calculate the greatest common divisor of 561, 584, 159, 156?
We can find the highest common divisor of 561, 584, 159, 156 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 561, 584, 159, 156 i.e 1.
3. How can I use the GCD of 561, 584, 159, 156Calculator?
Out the numbers 561, 584, 159, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.