Online GCD Calculator is useful to find the GCD of 165, 814, 221, 414 quickly. Get the easiest ways to solve the greatest common divisor of 165, 814, 221, 414 i.e 1 in different methods as follows.
Given Input numbers are 165, 814, 221, 414
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (165, 814, 221, 414) = 1.
Given numbers are 165, 814, 221, 414
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 814 are 2 x 11 x 37
Prime factors of 221 are 13 x 17
Prime factors of 414 are 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 165, 814, 221, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 814) = 12210
GCD(165, 814) = ( 165 x 814 ) / 12210
= 165 / 814
= 165
Step2:
LCM(11, 221) = 2431
GCD(11, 221) = ( 11 x 221 ) / 2431
= 11 / 221
= 11
Step3:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
So, Greatest Common Divisor of 165, 814, 221, 414 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 814, 221, 414
The greatest common divisor of numbers 165, 814, 221, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 814, 221, 414 is 1.
1. What is the GCD of 165, 814, 221, 414?
GCD of given numbers 165, 814, 221, 414 is 1
2. How to calculate the greatest common divisor of 165, 814, 221, 414?
We can find the highest common divisor of 165, 814, 221, 414 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 165, 814, 221, 414 i.e 1.
3. How can I use the GCD of 165, 814, 221, 414Calculator?
Out the numbers 165, 814, 221, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.