Online GCD Calculator is useful to find the GCD of 680, 976, 717, 699 quickly. Get the easiest ways to solve the greatest common divisor of 680, 976, 717, 699 i.e 1 in different methods as follows.
Given Input numbers are 680, 976, 717, 699
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 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (680, 976, 717, 699) = 1.
Given numbers are 680, 976, 717, 699
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 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 717 are 3 x 239
Prime factors of 699 are 3 x 233
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 976, 717, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 976) = 82960
GCD(680, 976) = ( 680 x 976 ) / 82960
= 680 / 976
= 680
Step2:
LCM(8, 717) = 5736
GCD(8, 717) = ( 8 x 717 ) / 5736
= 8 / 717
= 8
Step3:
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
= 1 / 699
= 1
So, Greatest Common Divisor of 680, 976, 717, 699 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 976, 717, 699
The greatest common divisor of numbers 680, 976, 717, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 976, 717, 699 is 1.
1. What is the GCD of 680, 976, 717, 699?
GCD of given numbers 680, 976, 717, 699 is 1
2. How to calculate the greatest common divisor of 680, 976, 717, 699?
We can find the highest common divisor of 680, 976, 717, 699 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, 976, 717, 699 i.e 1.
3. How can I use the GCD of 680, 976, 717, 699Calculator?
Out the numbers 680, 976, 717, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.