Online GCD Calculator is useful to find the GCD of 309, 468, 126, 211 quickly. Get the easiest ways to solve the greatest common divisor of 309, 468, 126, 211 i.e 1 in different methods as follows.
Given Input numbers are 309, 468, 126, 211
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 211 :
The positive integer divisors of 211 that completely divides 211 are.
1, 211
GCD of numbers is the greatest common divisor
So, the GCD (309, 468, 126, 211) = 1.
Given numbers are 309, 468, 126, 211
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 211 are 211
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 468, 126, 211
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 468) = 48204
GCD(309, 468) = ( 309 x 468 ) / 48204
= 309 / 468
= 309
Step2:
LCM(3, 126) = 126
GCD(3, 126) = ( 3 x 126 ) / 126
= 3 / 126
= 3
Step3:
LCM(3, 211) = 633
GCD(3, 211) = ( 3 x 211 ) / 633
= 3 / 211
= 3
So, Greatest Common Divisor of 309, 468, 126, 211 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 468, 126, 211
The greatest common divisor of numbers 309, 468, 126, 211 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 468, 126, 211 is 1.
1. What is the GCD of 309, 468, 126, 211?
GCD of given numbers 309, 468, 126, 211 is 1
2. How to calculate the greatest common divisor of 309, 468, 126, 211?
We can find the highest common divisor of 309, 468, 126, 211 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 309, 468, 126, 211 i.e 1.
3. How can I use the GCD of 309, 468, 126, 211Calculator?
Out the numbers 309, 468, 126, 211 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.