Online GCD Calculator is useful to find the GCD of 450, 448, 909, 355 quickly. Get the easiest ways to solve the greatest common divisor of 450, 448, 909, 355 i.e 1 in different methods as follows.
Given Input numbers are 450, 448, 909, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (450, 448, 909, 355) = 1.
Given numbers are 450, 448, 909, 355
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
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
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 450, 448, 909, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 448) = 100800
GCD(450, 448) = ( 450 x 448 ) / 100800
= 450 / 448
= 450
Step2:
LCM(2, 909) = 1818
GCD(2, 909) = ( 2 x 909 ) / 1818
= 2 / 909
= 2
Step3:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
So, Greatest Common Divisor of 450, 448, 909, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 448, 909, 355
The greatest common divisor of numbers 450, 448, 909, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 448, 909, 355 is 1.
1. What is the GCD of 450, 448, 909, 355?
GCD of given numbers 450, 448, 909, 355 is 1
2. How to calculate the greatest common divisor of 450, 448, 909, 355?
We can find the highest common divisor of 450, 448, 909, 355 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 450, 448, 909, 355 i.e 1.
3. How can I use the GCD of 450, 448, 909, 355Calculator?
Out the numbers 450, 448, 909, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.