Online GCD Calculator is useful to find the GCD of 560, 556, 345, 572 quickly. Get the easiest ways to solve the greatest common divisor of 560, 556, 345, 572 i.e 1 in different methods as follows.
Given Input numbers are 560, 556, 345, 572
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
GCD of numbers is the greatest common divisor
So, the GCD (560, 556, 345, 572) = 1.
Given numbers are 560, 556, 345, 572
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 556 are 2 x 2 x 139
Prime factors of 345 are 3 x 5 x 23
Prime factors of 572 are 2 x 2 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 556, 345, 572
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 556) = 77840
GCD(560, 556) = ( 560 x 556 ) / 77840
= 560 / 556
= 560
Step2:
LCM(4, 345) = 1380
GCD(4, 345) = ( 4 x 345 ) / 1380
= 4 / 345
= 4
Step3:
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
= 1 / 572
= 1
So, Greatest Common Divisor of 560, 556, 345, 572 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 556, 345, 572
The greatest common divisor of numbers 560, 556, 345, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 556, 345, 572 is 1.
1. What is the GCD of 560, 556, 345, 572?
GCD of given numbers 560, 556, 345, 572 is 1
2. How to calculate the greatest common divisor of 560, 556, 345, 572?
We can find the highest common divisor of 560, 556, 345, 572 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 560, 556, 345, 572 i.e 1.
3. How can I use the GCD of 560, 556, 345, 572Calculator?
Out the numbers 560, 556, 345, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.