Online GCD Calculator is useful to find the GCD of 561, 559, 140, 564 quickly. Get the easiest ways to solve the greatest common divisor of 561, 559, 140, 564 i.e 1 in different methods as follows.
Given Input numbers are 561, 559, 140, 564
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 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (561, 559, 140, 564) = 1.
Given numbers are 561, 559, 140, 564
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 559 are 13 x 43
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 564 are 2 x 2 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 559, 140, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 559) = 313599
GCD(561, 559) = ( 561 x 559 ) / 313599
= 561 / 559
= 561
Step2:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
Step3:
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
= 1 / 564
= 1
So, Greatest Common Divisor of 561, 559, 140, 564 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 559, 140, 564
The greatest common divisor of numbers 561, 559, 140, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 559, 140, 564 is 1.
1. What is the GCD of 561, 559, 140, 564?
GCD of given numbers 561, 559, 140, 564 is 1
2. How to calculate the greatest common divisor of 561, 559, 140, 564?
We can find the highest common divisor of 561, 559, 140, 564 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, 559, 140, 564 i.e 1.
3. How can I use the GCD of 561, 559, 140, 564Calculator?
Out the numbers 561, 559, 140, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.