Online GCD Calculator is useful to find the GCD of 462, 381, 448, 909 quickly. Get the easiest ways to solve the greatest common divisor of 462, 381, 448, 909 i.e 1 in different methods as follows.
Given Input numbers are 462, 381, 448, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (462, 381, 448, 909) = 1.
Given numbers are 462, 381, 448, 909
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 381 are 3 x 127
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 381, 448, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 381) = 58674
GCD(462, 381) = ( 462 x 381 ) / 58674
= 462 / 381
= 462
Step2:
LCM(3, 448) = 1344
GCD(3, 448) = ( 3 x 448 ) / 1344
= 3 / 448
= 3
Step3:
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
= 1 / 909
= 1
So, Greatest Common Divisor of 462, 381, 448, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 381, 448, 909
The greatest common divisor of numbers 462, 381, 448, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 381, 448, 909 is 1.
1. What is the GCD of 462, 381, 448, 909?
GCD of given numbers 462, 381, 448, 909 is 1
2. How to calculate the greatest common divisor of 462, 381, 448, 909?
We can find the highest common divisor of 462, 381, 448, 909 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 462, 381, 448, 909 i.e 1.
3. How can I use the GCD of 462, 381, 448, 909Calculator?
Out the numbers 462, 381, 448, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.