Online GCD Calculator is useful to find the GCD of 691, 308, 515, 180 quickly. Get the easiest ways to solve the greatest common divisor of 691, 308, 515, 180 i.e 1 in different methods as follows.
Given Input numbers are 691, 308, 515, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 515 :
The positive integer divisors of 515 that completely divides 515 are.
1, 5, 103, 515
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (691, 308, 515, 180) = 1.
Given numbers are 691, 308, 515, 180
The list of prime factors of all numbers are
Prime factors of 691 are 691
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 515 are 5 x 103
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 691, 308, 515, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(691, 308) = 212828
GCD(691, 308) = ( 691 x 308 ) / 212828
= 691 / 308
= 691
Step2:
LCM(1, 515) = 515
GCD(1, 515) = ( 1 x 515 ) / 515
= 1 / 515
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 691, 308, 515, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 691, 308, 515, 180
The greatest common divisor of numbers 691, 308, 515, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 308, 515, 180 is 1.
1. What is the GCD of 691, 308, 515, 180?
GCD of given numbers 691, 308, 515, 180 is 1
2. How to calculate the greatest common divisor of 691, 308, 515, 180?
We can find the highest common divisor of 691, 308, 515, 180 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 691, 308, 515, 180 i.e 1.
3. How can I use the GCD of 691, 308, 515, 180Calculator?
Out the numbers 691, 308, 515, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.