Online GCD Calculator is useful to find the GCD of 218, 162, 244, 343 quickly. Get the easiest ways to solve the greatest common divisor of 218, 162, 244, 343 i.e 1 in different methods as follows.
Given Input numbers are 218, 162, 244, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 244 :
The positive integer divisors of 244 that completely divides 244 are.
1, 2, 4, 61, 122, 244
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (218, 162, 244, 343) = 1.
Given numbers are 218, 162, 244, 343
The list of prime factors of all numbers are
Prime factors of 218 are 2 x 109
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 244 are 2 x 2 x 61
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 218, 162, 244, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(218, 162) = 17658
GCD(218, 162) = ( 218 x 162 ) / 17658
= 218 / 162
= 218
Step2:
LCM(2, 244) = 244
GCD(2, 244) = ( 2 x 244 ) / 244
= 2 / 244
= 2
Step3:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
So, Greatest Common Divisor of 218, 162, 244, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 218, 162, 244, 343
The greatest common divisor of numbers 218, 162, 244, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 162, 244, 343 is 1.
1. What is the GCD of 218, 162, 244, 343?
GCD of given numbers 218, 162, 244, 343 is 1
2. How to calculate the greatest common divisor of 218, 162, 244, 343?
We can find the highest common divisor of 218, 162, 244, 343 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 218, 162, 244, 343 i.e 1.
3. How can I use the GCD of 218, 162, 244, 343Calculator?
Out the numbers 218, 162, 244, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.