Online GCD Calculator is useful to find the GCD of 509, 742, 596, 338 quickly. Get the easiest ways to solve the greatest common divisor of 509, 742, 596, 338 i.e 1 in different methods as follows.
Given Input numbers are 509, 742, 596, 338
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (509, 742, 596, 338) = 1.
Given numbers are 509, 742, 596, 338
The list of prime factors of all numbers are
Prime factors of 509 are 509
Prime factors of 742 are 2 x 7 x 53
Prime factors of 596 are 2 x 2 x 149
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 509, 742, 596, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(509, 742) = 377678
GCD(509, 742) = ( 509 x 742 ) / 377678
= 509 / 742
= 509
Step2:
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
= 1 / 596
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 509, 742, 596, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 509, 742, 596, 338
The greatest common divisor of numbers 509, 742, 596, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 742, 596, 338 is 1.
1. What is the GCD of 509, 742, 596, 338?
GCD of given numbers 509, 742, 596, 338 is 1
2. How to calculate the greatest common divisor of 509, 742, 596, 338?
We can find the highest common divisor of 509, 742, 596, 338 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, 742, 596, 338 i.e 1.
3. How can I use the GCD of 509, 742, 596, 338Calculator?
Out the numbers 509, 742, 596, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.