Online GCD Calculator is useful to find the GCD of 780, 564, 509, 477 quickly. Get the easiest ways to solve the greatest common divisor of 780, 564, 509, 477 i.e 1 in different methods as follows.
Given Input numbers are 780, 564, 509, 477
In the factoring method, we have to find the divisors of all numbers
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
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
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (780, 564, 509, 477) = 1.
Given numbers are 780, 564, 509, 477
The list of prime factors of all numbers are
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 509 are 509
Prime factors of 477 are 3 x 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 780, 564, 509, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 564) = 36660
GCD(780, 564) = ( 780 x 564 ) / 36660
= 780 / 564
= 780
Step2:
LCM(12, 509) = 6108
GCD(12, 509) = ( 12 x 509 ) / 6108
= 12 / 509
= 12
Step3:
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
= 1 / 477
= 1
So, Greatest Common Divisor of 780, 564, 509, 477 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 564, 509, 477
The greatest common divisor of numbers 780, 564, 509, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 564, 509, 477 is 1.
1. What is the GCD of 780, 564, 509, 477?
GCD of given numbers 780, 564, 509, 477 is 1
2. How to calculate the greatest common divisor of 780, 564, 509, 477?
We can find the highest common divisor of 780, 564, 509, 477 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 780, 564, 509, 477 i.e 1.
3. How can I use the GCD of 780, 564, 509, 477Calculator?
Out the numbers 780, 564, 509, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.