Online GCD Calculator is useful to find the GCD of 165, 696, 338, 418 quickly. Get the easiest ways to solve the greatest common divisor of 165, 696, 338, 418 i.e 1 in different methods as follows.
Given Input numbers are 165, 696, 338, 418
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
GCD of numbers is the greatest common divisor
So, the GCD (165, 696, 338, 418) = 1.
Given numbers are 165, 696, 338, 418
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 338 are 2 x 13 x 13
Prime factors of 418 are 2 x 11 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 165, 696, 338, 418
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 696) = 38280
GCD(165, 696) = ( 165 x 696 ) / 38280
= 165 / 696
= 165
Step2:
LCM(3, 338) = 1014
GCD(3, 338) = ( 3 x 338 ) / 1014
= 3 / 338
= 3
Step3:
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
= 1 / 418
= 1
So, Greatest Common Divisor of 165, 696, 338, 418 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 696, 338, 418
The greatest common divisor of numbers 165, 696, 338, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 696, 338, 418 is 1.
1. What is the GCD of 165, 696, 338, 418?
GCD of given numbers 165, 696, 338, 418 is 1
2. How to calculate the greatest common divisor of 165, 696, 338, 418?
We can find the highest common divisor of 165, 696, 338, 418 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, 696, 338, 418 i.e 1.
3. How can I use the GCD of 165, 696, 338, 418Calculator?
Out the numbers 165, 696, 338, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.