Online GCD Calculator is useful to find the GCD of 450, 870, 369, 484 quickly. Get the easiest ways to solve the greatest common divisor of 450, 870, 369, 484 i.e 1 in different methods as follows.
Given Input numbers are 450, 870, 369, 484
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 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (450, 870, 369, 484) = 1.
Given numbers are 450, 870, 369, 484
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 870 are 2 x 3 x 5 x 29
Prime factors of 369 are 3 x 3 x 41
Prime factors of 484 are 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 450, 870, 369, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 870) = 13050
GCD(450, 870) = ( 450 x 870 ) / 13050
= 450 / 870
= 450
Step2:
LCM(30, 369) = 3690
GCD(30, 369) = ( 30 x 369 ) / 3690
= 30 / 369
= 30
Step3:
LCM(3, 484) = 1452
GCD(3, 484) = ( 3 x 484 ) / 1452
= 3 / 484
= 3
So, Greatest Common Divisor of 450, 870, 369, 484 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 870, 369, 484
The greatest common divisor of numbers 450, 870, 369, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 870, 369, 484 is 1.
1. What is the GCD of 450, 870, 369, 484?
GCD of given numbers 450, 870, 369, 484 is 1
2. How to calculate the greatest common divisor of 450, 870, 369, 484?
We can find the highest common divisor of 450, 870, 369, 484 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, 870, 369, 484 i.e 1.
3. How can I use the GCD of 450, 870, 369, 484Calculator?
Out the numbers 450, 870, 369, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.