Online GCD Calculator is useful to find the GCD of 680, 309, 408, 677 quickly. Get the easiest ways to solve the greatest common divisor of 680, 309, 408, 677 i.e 1 in different methods as follows.
Given Input numbers are 680, 309, 408, 677
In the factoring method, we have to find the divisors of all numbers
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 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
GCD of numbers is the greatest common divisor
So, the GCD (680, 309, 408, 677) = 1.
Given numbers are 680, 309, 408, 677
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 309 are 3 x 103
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 677 are 677
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 309, 408, 677
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 309) = 210120
GCD(680, 309) = ( 680 x 309 ) / 210120
= 680 / 309
= 680
Step2:
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
= 1 / 408
= 1
Step3:
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
= 1 / 677
= 1
So, Greatest Common Divisor of 680, 309, 408, 677 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 309, 408, 677
The greatest common divisor of numbers 680, 309, 408, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 309, 408, 677 is 1.
1. What is the GCD of 680, 309, 408, 677?
GCD of given numbers 680, 309, 408, 677 is 1
2. How to calculate the greatest common divisor of 680, 309, 408, 677?
We can find the highest common divisor of 680, 309, 408, 677 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 680, 309, 408, 677 i.e 1.
3. How can I use the GCD of 680, 309, 408, 677Calculator?
Out the numbers 680, 309, 408, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.