Online GCD Calculator is useful to find the GCD of 345, 621, 680, 289 quickly. Get the easiest ways to solve the greatest common divisor of 345, 621, 680, 289 i.e 1 in different methods as follows.
Given Input numbers are 345, 621, 680, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (345, 621, 680, 289) = 1.
Given numbers are 345, 621, 680, 289
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 621, 680, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 621) = 3105
GCD(345, 621) = ( 345 x 621 ) / 3105
= 345 / 621
= 345
Step2:
LCM(69, 680) = 46920
GCD(69, 680) = ( 69 x 680 ) / 46920
= 69 / 680
= 69
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 345, 621, 680, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 621, 680, 289
The greatest common divisor of numbers 345, 621, 680, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 621, 680, 289 is 1.
1. What is the GCD of 345, 621, 680, 289?
GCD of given numbers 345, 621, 680, 289 is 1
2. How to calculate the greatest common divisor of 345, 621, 680, 289?
We can find the highest common divisor of 345, 621, 680, 289 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 345, 621, 680, 289 i.e 1.
3. How can I use the GCD of 345, 621, 680, 289Calculator?
Out the numbers 345, 621, 680, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.