Online GCD Calculator is useful to find the GCD of 560, 513, 584, 420 quickly. Get the easiest ways to solve the greatest common divisor of 560, 513, 584, 420 i.e 1 in different methods as follows.
Given Input numbers are 560, 513, 584, 420
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 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (560, 513, 584, 420) = 1.
Given numbers are 560, 513, 584, 420
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 513 are 3 x 3 x 3 x 19
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 513, 584, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 513) = 287280
GCD(560, 513) = ( 560 x 513 ) / 287280
= 560 / 513
= 560
Step2:
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
= 1 / 584
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 560, 513, 584, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 513, 584, 420
The greatest common divisor of numbers 560, 513, 584, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 513, 584, 420 is 1.
1. What is the GCD of 560, 513, 584, 420?
GCD of given numbers 560, 513, 584, 420 is 1
2. How to calculate the greatest common divisor of 560, 513, 584, 420?
We can find the highest common divisor of 560, 513, 584, 420 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, 513, 584, 420 i.e 1.
3. How can I use the GCD of 560, 513, 584, 420Calculator?
Out the numbers 560, 513, 584, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.