Online GCD Calculator is useful to find the GCD of 209, 232, 696, 738 quickly. Get the easiest ways to solve the greatest common divisor of 209, 232, 696, 738 i.e 1 in different methods as follows.
Given Input numbers are 209, 232, 696, 738
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 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
GCD of numbers is the greatest common divisor
So, the GCD (209, 232, 696, 738) = 1.
Given numbers are 209, 232, 696, 738
The list of prime factors of all numbers are
Prime factors of 209 are 11 x 19
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 738 are 2 x 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 209, 232, 696, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(209, 232) = 48488
GCD(209, 232) = ( 209 x 232 ) / 48488
= 209 / 232
= 209
Step2:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
Step3:
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
= 1 / 738
= 1
So, Greatest Common Divisor of 209, 232, 696, 738 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 209, 232, 696, 738
The greatest common divisor of numbers 209, 232, 696, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 232, 696, 738 is 1.
1. What is the GCD of 209, 232, 696, 738?
GCD of given numbers 209, 232, 696, 738 is 1
2. How to calculate the greatest common divisor of 209, 232, 696, 738?
We can find the highest common divisor of 209, 232, 696, 738 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, 232, 696, 738 i.e 1.
3. How can I use the GCD of 209, 232, 696, 738Calculator?
Out the numbers 209, 232, 696, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.