Online GCD Calculator is useful to find the GCD of 234, 403, 600, 684 quickly. Get the easiest ways to solve the greatest common divisor of 234, 403, 600, 684 i.e 1 in different methods as follows.
Given Input numbers are 234, 403, 600, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 403 :
The positive integer divisors of 403 that completely divides 403 are.
1, 13, 31, 403
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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 (234, 403, 600, 684) = 1.
Given numbers are 234, 403, 600, 684
The list of prime factors of all numbers are
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 403 are 13 x 31
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
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 234, 403, 600, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(234, 403) = 7254
GCD(234, 403) = ( 234 x 403 ) / 7254
= 234 / 403
= 234
Step2:
LCM(13, 600) = 7800
GCD(13, 600) = ( 13 x 600 ) / 7800
= 13 / 600
= 13
Step3:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
So, Greatest Common Divisor of 234, 403, 600, 684 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 234, 403, 600, 684
The greatest common divisor of numbers 234, 403, 600, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 403, 600, 684 is 1.
1. What is the GCD of 234, 403, 600, 684?
GCD of given numbers 234, 403, 600, 684 is 1
2. How to calculate the greatest common divisor of 234, 403, 600, 684?
We can find the highest common divisor of 234, 403, 600, 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 234, 403, 600, 684 i.e 1.
3. How can I use the GCD of 234, 403, 600, 684Calculator?
Out the numbers 234, 403, 600, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.