Online GCD Calculator is useful to find the GCD of 689, 102, 170, 985 quickly. Get the easiest ways to solve the greatest common divisor of 689, 102, 170, 985 i.e 1 in different methods as follows.
Given Input numbers are 689, 102, 170, 985
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 985 :
The positive integer divisors of 985 that completely divides 985 are.
1, 5, 197, 985
GCD of numbers is the greatest common divisor
So, the GCD (689, 102, 170, 985) = 1.
Given numbers are 689, 102, 170, 985
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 102 are 2 x 3 x 17
Prime factors of 170 are 2 x 5 x 17
Prime factors of 985 are 5 x 197
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 102, 170, 985
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 102) = 70278
GCD(689, 102) = ( 689 x 102 ) / 70278
= 689 / 102
= 689
Step2:
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
= 1 / 170
= 1
Step3:
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
= 1 / 985
= 1
So, Greatest Common Divisor of 689, 102, 170, 985 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 102, 170, 985
The greatest common divisor of numbers 689, 102, 170, 985 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 102, 170, 985 is 1.
1. What is the GCD of 689, 102, 170, 985?
GCD of given numbers 689, 102, 170, 985 is 1
2. How to calculate the greatest common divisor of 689, 102, 170, 985?
We can find the highest common divisor of 689, 102, 170, 985 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, 102, 170, 985 i.e 1.
3. How can I use the GCD of 689, 102, 170, 985Calculator?
Out the numbers 689, 102, 170, 985 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.