Online GCD Calculator is useful to find the GCD of 689, 109, 517, 156 quickly. Get the easiest ways to solve the greatest common divisor of 689, 109, 517, 156 i.e 1 in different methods as follows.
Given Input numbers are 689, 109, 517, 156
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 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 517 :
The positive integer divisors of 517 that completely divides 517 are.
1, 11, 47, 517
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (689, 109, 517, 156) = 1.
Given numbers are 689, 109, 517, 156
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 109 are 109
Prime factors of 517 are 11 x 47
Prime factors of 156 are 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 109, 517, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 109) = 75101
GCD(689, 109) = ( 689 x 109 ) / 75101
= 689 / 109
= 689
Step2:
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
= 1 / 517
= 1
Step3:
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
= 1 / 156
= 1
So, Greatest Common Divisor of 689, 109, 517, 156 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 109, 517, 156
The greatest common divisor of numbers 689, 109, 517, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 109, 517, 156 is 1.
1. What is the GCD of 689, 109, 517, 156?
GCD of given numbers 689, 109, 517, 156 is 1
2. How to calculate the greatest common divisor of 689, 109, 517, 156?
We can find the highest common divisor of 689, 109, 517, 156 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, 109, 517, 156 i.e 1.
3. How can I use the GCD of 689, 109, 517, 156Calculator?
Out the numbers 689, 109, 517, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.