Online GCD Calculator is useful to find the GCD of 506, 500, 189, 829 quickly. Get the easiest ways to solve the greatest common divisor of 506, 500, 189, 829 i.e 1 in different methods as follows.
Given Input numbers are 506, 500, 189, 829
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
GCD of numbers is the greatest common divisor
So, the GCD (506, 500, 189, 829) = 1.
Given numbers are 506, 500, 189, 829
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 829 are 829
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 506, 500, 189, 829
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 500) = 126500
GCD(506, 500) = ( 506 x 500 ) / 126500
= 506 / 500
= 506
Step2:
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
= 2 / 189
= 2
Step3:
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
= 1 / 829
= 1
So, Greatest Common Divisor of 506, 500, 189, 829 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 500, 189, 829
The greatest common divisor of numbers 506, 500, 189, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 500, 189, 829 is 1.
1. What is the GCD of 506, 500, 189, 829?
GCD of given numbers 506, 500, 189, 829 is 1
2. How to calculate the greatest common divisor of 506, 500, 189, 829?
We can find the highest common divisor of 506, 500, 189, 829 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 506, 500, 189, 829 i.e 1.
3. How can I use the GCD of 506, 500, 189, 829Calculator?
Out the numbers 506, 500, 189, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.