Online GCD Calculator is useful to find the GCD of 189, 846, 775, 829 quickly. Get the easiest ways to solve the greatest common divisor of 189, 846, 775, 829 i.e 1 in different methods as follows.
Given Input numbers are 189, 846, 775, 829
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
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 (189, 846, 775, 829) = 1.
Given numbers are 189, 846, 775, 829
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 775 are 5 x 5 x 31
Prime factors of 829 are 829
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 846, 775, 829
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 846) = 17766
GCD(189, 846) = ( 189 x 846 ) / 17766
= 189 / 846
= 189
Step2:
LCM(9, 775) = 6975
GCD(9, 775) = ( 9 x 775 ) / 6975
= 9 / 775
= 9
Step3:
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
= 1 / 829
= 1
So, Greatest Common Divisor of 189, 846, 775, 829 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 846, 775, 829
The greatest common divisor of numbers 189, 846, 775, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 846, 775, 829 is 1.
1. What is the GCD of 189, 846, 775, 829?
GCD of given numbers 189, 846, 775, 829 is 1
2. How to calculate the greatest common divisor of 189, 846, 775, 829?
We can find the highest common divisor of 189, 846, 775, 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 189, 846, 775, 829 i.e 1.
3. How can I use the GCD of 189, 846, 775, 829Calculator?
Out the numbers 189, 846, 775, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.