Online GCD Calculator is useful to find the GCD of 165, 289, 221, 378 quickly. Get the easiest ways to solve the greatest common divisor of 165, 289, 221, 378 i.e 1 in different methods as follows.
Given Input numbers are 165, 289, 221, 378
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 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (165, 289, 221, 378) = 1.
Given numbers are 165, 289, 221, 378
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 289 are 17 x 17
Prime factors of 221 are 13 x 17
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 165, 289, 221, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 289) = 47685
GCD(165, 289) = ( 165 x 289 ) / 47685
= 165 / 289
= 165
Step2:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 165, 289, 221, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 289, 221, 378
The greatest common divisor of numbers 165, 289, 221, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 289, 221, 378 is 1.
1. What is the GCD of 165, 289, 221, 378?
GCD of given numbers 165, 289, 221, 378 is 1
2. How to calculate the greatest common divisor of 165, 289, 221, 378?
We can find the highest common divisor of 165, 289, 221, 378 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, 289, 221, 378 i.e 1.
3. How can I use the GCD of 165, 289, 221, 378Calculator?
Out the numbers 165, 289, 221, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.