Online GCD Calculator is useful to find the GCD of 686, 867, 361, 213 quickly. Get the easiest ways to solve the greatest common divisor of 686, 867, 361, 213 i.e 1 in different methods as follows.
Given Input numbers are 686, 867, 361, 213
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 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (686, 867, 361, 213) = 1.
Given numbers are 686, 867, 361, 213
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 867 are 3 x 17 x 17
Prime factors of 361 are 19 x 19
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 686, 867, 361, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 867) = 594762
GCD(686, 867) = ( 686 x 867 ) / 594762
= 686 / 867
= 686
Step2:
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
= 1 / 361
= 1
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 686, 867, 361, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 867, 361, 213
The greatest common divisor of numbers 686, 867, 361, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 867, 361, 213 is 1.
1. What is the GCD of 686, 867, 361, 213?
GCD of given numbers 686, 867, 361, 213 is 1
2. How to calculate the greatest common divisor of 686, 867, 361, 213?
We can find the highest common divisor of 686, 867, 361, 213 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, 867, 361, 213 i.e 1.
3. How can I use the GCD of 686, 867, 361, 213Calculator?
Out the numbers 686, 867, 361, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.