Online GCD Calculator is useful to find the GCD of 340, 318, 565, 689 quickly. Get the easiest ways to solve the greatest common divisor of 340, 318, 565, 689 i.e 1 in different methods as follows.
Given Input numbers are 340, 318, 565, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (340, 318, 565, 689) = 1.
Given numbers are 340, 318, 565, 689
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 318 are 2 x 3 x 53
Prime factors of 565 are 5 x 113
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 340, 318, 565, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 318) = 54060
GCD(340, 318) = ( 340 x 318 ) / 54060
= 340 / 318
= 340
Step2:
LCM(2, 565) = 1130
GCD(2, 565) = ( 2 x 565 ) / 1130
= 2 / 565
= 2
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 340, 318, 565, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 318, 565, 689
The greatest common divisor of numbers 340, 318, 565, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 318, 565, 689 is 1.
1. What is the GCD of 340, 318, 565, 689?
GCD of given numbers 340, 318, 565, 689 is 1
2. How to calculate the greatest common divisor of 340, 318, 565, 689?
We can find the highest common divisor of 340, 318, 565, 689 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 340, 318, 565, 689 i.e 1.
3. How can I use the GCD of 340, 318, 565, 689Calculator?
Out the numbers 340, 318, 565, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.