Online GCD Calculator is useful to find the GCD of 667, 209, 21, 365 quickly. Get the easiest ways to solve the greatest common divisor of 667, 209, 21, 365 i.e 1 in different methods as follows.
Given Input numbers are 667, 209, 21, 365
In the factoring method, we have to find the divisors of all numbers
Divisors of 667 :
The positive integer divisors of 667 that completely divides 667 are.
1, 23, 29, 667
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
GCD of numbers is the greatest common divisor
So, the GCD (667, 209, 21, 365) = 1.
Given numbers are 667, 209, 21, 365
The list of prime factors of all numbers are
Prime factors of 667 are 23 x 29
Prime factors of 209 are 11 x 19
Prime factors of 21 are 3 x 7
Prime factors of 365 are 5 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 667, 209, 21, 365
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(667, 209) = 139403
GCD(667, 209) = ( 667 x 209 ) / 139403
= 667 / 209
= 667
Step2:
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
= 1 / 21
= 1
Step3:
LCM(1, 365) = 365
GCD(1, 365) = ( 1 x 365 ) / 365
= 1 / 365
= 1
So, Greatest Common Divisor of 667, 209, 21, 365 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 667, 209, 21, 365
The greatest common divisor of numbers 667, 209, 21, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 667, 209, 21, 365 is 1.
1. What is the GCD of 667, 209, 21, 365?
GCD of given numbers 667, 209, 21, 365 is 1
2. How to calculate the greatest common divisor of 667, 209, 21, 365?
We can find the highest common divisor of 667, 209, 21, 365 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 667, 209, 21, 365 i.e 1.
3. How can I use the GCD of 667, 209, 21, 365Calculator?
Out the numbers 667, 209, 21, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.