Online GCD Calculator is useful to find the GCD of 690, 317, 221, 338 quickly. Get the easiest ways to solve the greatest common divisor of 690, 317, 221, 338 i.e 1 in different methods as follows.
Given Input numbers are 690, 317, 221, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (690, 317, 221, 338) = 1.
Given numbers are 690, 317, 221, 338
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 317 are 317
Prime factors of 221 are 13 x 17
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 317, 221, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 317) = 218730
GCD(690, 317) = ( 690 x 317 ) / 218730
= 690 / 317
= 690
Step2:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 690, 317, 221, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 317, 221, 338
The greatest common divisor of numbers 690, 317, 221, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 317, 221, 338 is 1.
1. What is the GCD of 690, 317, 221, 338?
GCD of given numbers 690, 317, 221, 338 is 1
2. How to calculate the greatest common divisor of 690, 317, 221, 338?
We can find the highest common divisor of 690, 317, 221, 338 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 690, 317, 221, 338 i.e 1.
3. How can I use the GCD of 690, 317, 221, 338Calculator?
Out the numbers 690, 317, 221, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.