Online GCD Calculator is useful to find the GCD of 418, 297, 189, 264 quickly. Get the easiest ways to solve the greatest common divisor of 418, 297, 189, 264 i.e 1 in different methods as follows.
Given Input numbers are 418, 297, 189, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (418, 297, 189, 264) = 1.
Given numbers are 418, 297, 189, 264
The list of prime factors of all numbers are
Prime factors of 418 are 2 x 11 x 19
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 418, 297, 189, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(418, 297) = 11286
GCD(418, 297) = ( 418 x 297 ) / 11286
= 418 / 297
= 418
Step2:
LCM(11, 189) = 2079
GCD(11, 189) = ( 11 x 189 ) / 2079
= 11 / 189
= 11
Step3:
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
= 1 / 264
= 1
So, Greatest Common Divisor of 418, 297, 189, 264 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 418, 297, 189, 264
The greatest common divisor of numbers 418, 297, 189, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 418, 297, 189, 264 is 1.
1. What is the GCD of 418, 297, 189, 264?
GCD of given numbers 418, 297, 189, 264 is 1
2. How to calculate the greatest common divisor of 418, 297, 189, 264?
We can find the highest common divisor of 418, 297, 189, 264 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 418, 297, 189, 264 i.e 1.
3. How can I use the GCD of 418, 297, 189, 264Calculator?
Out the numbers 418, 297, 189, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.