Online GCD Calculator is useful to find the GCD of 509, 780, 958, 342 quickly. Get the easiest ways to solve the greatest common divisor of 509, 780, 958, 342 i.e 1 in different methods as follows.
Given Input numbers are 509, 780, 958, 342
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 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 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (509, 780, 958, 342) = 1.
Given numbers are 509, 780, 958, 342
The list of prime factors of all numbers are
Prime factors of 509 are 509
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 958 are 2 x 479
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 509, 780, 958, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(509, 780) = 397020
GCD(509, 780) = ( 509 x 780 ) / 397020
= 509 / 780
= 509
Step2:
LCM(1, 958) = 958
GCD(1, 958) = ( 1 x 958 ) / 958
= 1 / 958
= 1
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 509, 780, 958, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 509, 780, 958, 342
The greatest common divisor of numbers 509, 780, 958, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 780, 958, 342 is 1.
1. What is the GCD of 509, 780, 958, 342?
GCD of given numbers 509, 780, 958, 342 is 1
2. How to calculate the greatest common divisor of 509, 780, 958, 342?
We can find the highest common divisor of 509, 780, 958, 342 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, 780, 958, 342 i.e 1.
3. How can I use the GCD of 509, 780, 958, 342Calculator?
Out the numbers 509, 780, 958, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.