Online GCD Calculator is useful to find the GCD of 686, 591, 213, 117 quickly. Get the easiest ways to solve the greatest common divisor of 686, 591, 213, 117 i.e 1 in different methods as follows.
Given Input numbers are 686, 591, 213, 117
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 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (686, 591, 213, 117) = 1.
Given numbers are 686, 591, 213, 117
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 591 are 3 x 197
Prime factors of 213 are 3 x 71
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 686, 591, 213, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 591) = 405426
GCD(686, 591) = ( 686 x 591 ) / 405426
= 686 / 591
= 686
Step2:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 686, 591, 213, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 591, 213, 117
The greatest common divisor of numbers 686, 591, 213, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 591, 213, 117 is 1.
1. What is the GCD of 686, 591, 213, 117?
GCD of given numbers 686, 591, 213, 117 is 1
2. How to calculate the greatest common divisor of 686, 591, 213, 117?
We can find the highest common divisor of 686, 591, 213, 117 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, 591, 213, 117 i.e 1.
3. How can I use the GCD of 686, 591, 213, 117Calculator?
Out the numbers 686, 591, 213, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.