Online GCD Calculator is useful to find the GCD of 689, 344, 461, 385 quickly. Get the easiest ways to solve the greatest common divisor of 689, 344, 461, 385 i.e 1 in different methods as follows.
Given Input numbers are 689, 344, 461, 385
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 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
GCD of numbers is the greatest common divisor
So, the GCD (689, 344, 461, 385) = 1.
Given numbers are 689, 344, 461, 385
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 461 are 461
Prime factors of 385 are 5 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 344, 461, 385
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 344) = 237016
GCD(689, 344) = ( 689 x 344 ) / 237016
= 689 / 344
= 689
Step2:
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
= 1 / 461
= 1
Step3:
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
= 1 / 385
= 1
So, Greatest Common Divisor of 689, 344, 461, 385 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 344, 461, 385
The greatest common divisor of numbers 689, 344, 461, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 344, 461, 385 is 1.
1. What is the GCD of 689, 344, 461, 385?
GCD of given numbers 689, 344, 461, 385 is 1
2. How to calculate the greatest common divisor of 689, 344, 461, 385?
We can find the highest common divisor of 689, 344, 461, 385 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, 344, 461, 385 i.e 1.
3. How can I use the GCD of 689, 344, 461, 385Calculator?
Out the numbers 689, 344, 461, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.