Online GCD Calculator is useful to find the GCD of 116, 312, 493, 570 quickly. Get the easiest ways to solve the greatest common divisor of 116, 312, 493, 570 i.e 1 in different methods as follows.
Given Input numbers are 116, 312, 493, 570
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
GCD of numbers is the greatest common divisor
So, the GCD (116, 312, 493, 570) = 1.
Given numbers are 116, 312, 493, 570
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 493 are 17 x 29
Prime factors of 570 are 2 x 3 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 116, 312, 493, 570
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 312) = 9048
GCD(116, 312) = ( 116 x 312 ) / 9048
= 116 / 312
= 116
Step2:
LCM(4, 493) = 1972
GCD(4, 493) = ( 4 x 493 ) / 1972
= 4 / 493
= 4
Step3:
LCM(1, 570) = 570
GCD(1, 570) = ( 1 x 570 ) / 570
= 1 / 570
= 1
So, Greatest Common Divisor of 116, 312, 493, 570 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 312, 493, 570
The greatest common divisor of numbers 116, 312, 493, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 312, 493, 570 is 1.
1. What is the GCD of 116, 312, 493, 570?
GCD of given numbers 116, 312, 493, 570 is 1
2. How to calculate the greatest common divisor of 116, 312, 493, 570?
We can find the highest common divisor of 116, 312, 493, 570 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 116, 312, 493, 570 i.e 1.
3. How can I use the GCD of 116, 312, 493, 570Calculator?
Out the numbers 116, 312, 493, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.