Online GCD Calculator is useful to find the GCD of 838, 472, 309 quickly. Get the easiest ways to solve the greatest common divisor of 838, 472, 309 i.e 1 in different methods as follows.
Given Input numbers are 838, 472, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (838, 472, 309) = 1.
Given numbers are 838, 472, 309
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 838, 472, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 472) = 197768
GCD(838, 472) = ( 838 x 472 ) / 197768
= 838 / 472
= 838
Step2:
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
= 2 / 309
= 2
So, Greatest Common Divisor of 838, 472, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 838, 472, 309
The greatest common divisor of numbers 838, 472, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 472, 309 is 1.
1. What is the GCD of 838, 472, 309?
GCD of given numbers 838, 472, 309 is 1
2. How to calculate the greatest common divisor of 838, 472, 309?
We can find the highest common divisor of 838, 472, 309 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 838, 472, 309 i.e 1.
3. How can I use the GCD of 838, 472, 309Calculator?
Out the numbers 838, 472, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.