Online GCD Calculator is useful to find the GCD of 509, 796, 822, 780 quickly. Get the easiest ways to solve the greatest common divisor of 509, 796, 822, 780 i.e 1 in different methods as follows.
Given Input numbers are 509, 796, 822, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (509, 796, 822, 780) = 1.
Given numbers are 509, 796, 822, 780
The list of prime factors of all numbers are
Prime factors of 509 are 509
Prime factors of 796 are 2 x 2 x 199
Prime factors of 822 are 2 x 3 x 137
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 509, 796, 822, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(509, 796) = 405164
GCD(509, 796) = ( 509 x 796 ) / 405164
= 509 / 796
= 509
Step2:
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
= 1 / 822
= 1
Step3:
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
= 1 / 780
= 1
So, Greatest Common Divisor of 509, 796, 822, 780 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 509, 796, 822, 780
The greatest common divisor of numbers 509, 796, 822, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 796, 822, 780 is 1.
1. What is the GCD of 509, 796, 822, 780?
GCD of given numbers 509, 796, 822, 780 is 1
2. How to calculate the greatest common divisor of 509, 796, 822, 780?
We can find the highest common divisor of 509, 796, 822, 780 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 509, 796, 822, 780 i.e 1.
3. How can I use the GCD of 509, 796, 822, 780Calculator?
Out the numbers 509, 796, 822, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.