Online GCD Calculator is useful to find the GCD of 232, 209, 67, 684 quickly. Get the easiest ways to solve the greatest common divisor of 232, 209, 67, 684 i.e 1 in different methods as follows.
Given Input numbers are 232, 209, 67, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 67 :
The positive integer divisors of 67 that completely divides 67 are.
1, 67
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (232, 209, 67, 684) = 1.
Given numbers are 232, 209, 67, 684
The list of prime factors of all numbers are
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 209 are 11 x 19
Prime factors of 67 are 67
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 232, 209, 67, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(232, 209) = 48488
GCD(232, 209) = ( 232 x 209 ) / 48488
= 232 / 209
= 232
Step2:
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
= 1 / 67
= 1
Step3:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
So, Greatest Common Divisor of 232, 209, 67, 684 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 232, 209, 67, 684
The greatest common divisor of numbers 232, 209, 67, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 209, 67, 684 is 1.
1. What is the GCD of 232, 209, 67, 684?
GCD of given numbers 232, 209, 67, 684 is 1
2. How to calculate the greatest common divisor of 232, 209, 67, 684?
We can find the highest common divisor of 232, 209, 67, 684 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 232, 209, 67, 684 i.e 1.
3. How can I use the GCD of 232, 209, 67, 684Calculator?
Out the numbers 232, 209, 67, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.