Online GCD Calculator is useful to find the GCD of 209, 338, 579, 690 quickly. Get the easiest ways to solve the greatest common divisor of 209, 338, 579, 690 i.e 1 in different methods as follows.
Given Input numbers are 209, 338, 579, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 579 :
The positive integer divisors of 579 that completely divides 579 are.
1, 3, 193, 579
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
GCD of numbers is the greatest common divisor
So, the GCD (209, 338, 579, 690) = 1.
Given numbers are 209, 338, 579, 690
The list of prime factors of all numbers are
Prime factors of 209 are 11 x 19
Prime factors of 338 are 2 x 13 x 13
Prime factors of 579 are 3 x 193
Prime factors of 690 are 2 x 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 209, 338, 579, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(209, 338) = 70642
GCD(209, 338) = ( 209 x 338 ) / 70642
= 209 / 338
= 209
Step2:
LCM(1, 579) = 579
GCD(1, 579) = ( 1 x 579 ) / 579
= 1 / 579
= 1
Step3:
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
= 1 / 690
= 1
So, Greatest Common Divisor of 209, 338, 579, 690 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 209, 338, 579, 690
The greatest common divisor of numbers 209, 338, 579, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 338, 579, 690 is 1.
1. What is the GCD of 209, 338, 579, 690?
GCD of given numbers 209, 338, 579, 690 is 1
2. How to calculate the greatest common divisor of 209, 338, 579, 690?
We can find the highest common divisor of 209, 338, 579, 690 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 209, 338, 579, 690 i.e 1.
3. How can I use the GCD of 209, 338, 579, 690Calculator?
Out the numbers 209, 338, 579, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.