Online GCD Calculator is useful to find the GCD of 108, 689, 614, 844 quickly. Get the easiest ways to solve the greatest common divisor of 108, 689, 614, 844 i.e 1 in different methods as follows.
Given Input numbers are 108, 689, 614, 844
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
GCD of numbers is the greatest common divisor
So, the GCD (108, 689, 614, 844) = 1.
Given numbers are 108, 689, 614, 844
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 689 are 13 x 53
Prime factors of 614 are 2 x 307
Prime factors of 844 are 2 x 2 x 211
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 689, 614, 844
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 689) = 74412
GCD(108, 689) = ( 108 x 689 ) / 74412
= 108 / 689
= 108
Step2:
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
= 1 / 614
= 1
Step3:
LCM(1, 844) = 844
GCD(1, 844) = ( 1 x 844 ) / 844
= 1 / 844
= 1
So, Greatest Common Divisor of 108, 689, 614, 844 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 689, 614, 844
The greatest common divisor of numbers 108, 689, 614, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 689, 614, 844 is 1.
1. What is the GCD of 108, 689, 614, 844?
GCD of given numbers 108, 689, 614, 844 is 1
2. How to calculate the greatest common divisor of 108, 689, 614, 844?
We can find the highest common divisor of 108, 689, 614, 844 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 108, 689, 614, 844 i.e 1.
3. How can I use the GCD of 108, 689, 614, 844Calculator?
Out the numbers 108, 689, 614, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.