Online GCD Calculator is useful to find the GCD of 684, 500, 139, 231 quickly. Get the easiest ways to solve the greatest common divisor of 684, 500, 139, 231 i.e 1 in different methods as follows.
Given Input numbers are 684, 500, 139, 231
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 139 :
The positive integer divisors of 139 that completely divides 139 are.
1, 139
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (684, 500, 139, 231) = 1.
Given numbers are 684, 500, 139, 231
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 139 are 139
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 500, 139, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 500) = 85500
GCD(684, 500) = ( 684 x 500 ) / 85500
= 684 / 500
= 684
Step2:
LCM(4, 139) = 556
GCD(4, 139) = ( 4 x 139 ) / 556
= 4 / 139
= 4
Step3:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
So, Greatest Common Divisor of 684, 500, 139, 231 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 500, 139, 231
The greatest common divisor of numbers 684, 500, 139, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 500, 139, 231 is 1.
1. What is the GCD of 684, 500, 139, 231?
GCD of given numbers 684, 500, 139, 231 is 1
2. How to calculate the greatest common divisor of 684, 500, 139, 231?
We can find the highest common divisor of 684, 500, 139, 231 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 684, 500, 139, 231 i.e 1.
3. How can I use the GCD of 684, 500, 139, 231Calculator?
Out the numbers 684, 500, 139, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.