Online GCD Calculator is useful to find the GCD of 345, 686, 720, 979 quickly. Get the easiest ways to solve the greatest common divisor of 345, 686, 720, 979 i.e 1 in different methods as follows.
Given Input numbers are 345, 686, 720, 979
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 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 979 :
The positive integer divisors of 979 that completely divides 979 are.
1, 11, 89, 979
GCD of numbers is the greatest common divisor
So, the GCD (345, 686, 720, 979) = 1.
Given numbers are 345, 686, 720, 979
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 979 are 11 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 686, 720, 979
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 686) = 236670
GCD(345, 686) = ( 345 x 686 ) / 236670
= 345 / 686
= 345
Step2:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
Step3:
LCM(1, 979) = 979
GCD(1, 979) = ( 1 x 979 ) / 979
= 1 / 979
= 1
So, Greatest Common Divisor of 345, 686, 720, 979 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 686, 720, 979
The greatest common divisor of numbers 345, 686, 720, 979 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 686, 720, 979 is 1.
1. What is the GCD of 345, 686, 720, 979?
GCD of given numbers 345, 686, 720, 979 is 1
2. How to calculate the greatest common divisor of 345, 686, 720, 979?
We can find the highest common divisor of 345, 686, 720, 979 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, 686, 720, 979 i.e 1.
3. How can I use the GCD of 345, 686, 720, 979Calculator?
Out the numbers 345, 686, 720, 979 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.