Online GCD Calculator is useful to find the GCD of 686, 329, 465, 716 quickly. Get the easiest ways to solve the greatest common divisor of 686, 329, 465, 716 i.e 1 in different methods as follows.
Given Input numbers are 686, 329, 465, 716
In the factoring method, we have to find the divisors of all numbers
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (686, 329, 465, 716) = 1.
Given numbers are 686, 329, 465, 716
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 329 are 7 x 47
Prime factors of 465 are 3 x 5 x 31
Prime factors of 716 are 2 x 2 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 686, 329, 465, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 329) = 32242
GCD(686, 329) = ( 686 x 329 ) / 32242
= 686 / 329
= 686
Step2:
LCM(7, 465) = 3255
GCD(7, 465) = ( 7 x 465 ) / 3255
= 7 / 465
= 7
Step3:
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
= 1 / 716
= 1
So, Greatest Common Divisor of 686, 329, 465, 716 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 329, 465, 716
The greatest common divisor of numbers 686, 329, 465, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 329, 465, 716 is 1.
1. What is the GCD of 686, 329, 465, 716?
GCD of given numbers 686, 329, 465, 716 is 1
2. How to calculate the greatest common divisor of 686, 329, 465, 716?
We can find the highest common divisor of 686, 329, 465, 716 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 686, 329, 465, 716 i.e 1.
3. How can I use the GCD of 686, 329, 465, 716Calculator?
Out the numbers 686, 329, 465, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.