Online GCD Calculator is useful to find the GCD of 689, 946, 829, 162 quickly. Get the easiest ways to solve the greatest common divisor of 689, 946, 829, 162 i.e 1 in different methods as follows.
Given Input numbers are 689, 946, 829, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (689, 946, 829, 162) = 1.
Given numbers are 689, 946, 829, 162
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 946 are 2 x 11 x 43
Prime factors of 829 are 829
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 946, 829, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 946) = 651794
GCD(689, 946) = ( 689 x 946 ) / 651794
= 689 / 946
= 689
Step2:
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
= 1 / 829
= 1
Step3:
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
= 1 / 162
= 1
So, Greatest Common Divisor of 689, 946, 829, 162 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 946, 829, 162
The greatest common divisor of numbers 689, 946, 829, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 946, 829, 162 is 1.
1. What is the GCD of 689, 946, 829, 162?
GCD of given numbers 689, 946, 829, 162 is 1
2. How to calculate the greatest common divisor of 689, 946, 829, 162?
We can find the highest common divisor of 689, 946, 829, 162 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 689, 946, 829, 162 i.e 1.
3. How can I use the GCD of 689, 946, 829, 162Calculator?
Out the numbers 689, 946, 829, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.