Online GCD Calculator is useful to find the GCD of 171, 742, 835, 689 quickly. Get the easiest ways to solve the greatest common divisor of 171, 742, 835, 689 i.e 1 in different methods as follows.
Given Input numbers are 171, 742, 835, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 835 :
The positive integer divisors of 835 that completely divides 835 are.
1, 5, 167, 835
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (171, 742, 835, 689) = 1.
Given numbers are 171, 742, 835, 689
The list of prime factors of all numbers are
Prime factors of 171 are 3 x 3 x 19
Prime factors of 742 are 2 x 7 x 53
Prime factors of 835 are 5 x 167
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 171, 742, 835, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(171, 742) = 126882
GCD(171, 742) = ( 171 x 742 ) / 126882
= 171 / 742
= 171
Step2:
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
= 1 / 835
= 1
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 171, 742, 835, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 171, 742, 835, 689
The greatest common divisor of numbers 171, 742, 835, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 742, 835, 689 is 1.
1. What is the GCD of 171, 742, 835, 689?
GCD of given numbers 171, 742, 835, 689 is 1
2. How to calculate the greatest common divisor of 171, 742, 835, 689?
We can find the highest common divisor of 171, 742, 835, 689 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 171, 742, 835, 689 i.e 1.
3. How can I use the GCD of 171, 742, 835, 689Calculator?
Out the numbers 171, 742, 835, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.