Online GCD Calculator is useful to find the GCD of 450, 689, 320, 373 quickly. Get the easiest ways to solve the greatest common divisor of 450, 689, 320, 373 i.e 1 in different methods as follows.
Given Input numbers are 450, 689, 320, 373
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 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 373 :
The positive integer divisors of 373 that completely divides 373 are.
1, 373
GCD of numbers is the greatest common divisor
So, the GCD (450, 689, 320, 373) = 1.
Given numbers are 450, 689, 320, 373
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 689 are 13 x 53
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 373 are 373
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 450, 689, 320, 373
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 689) = 310050
GCD(450, 689) = ( 450 x 689 ) / 310050
= 450 / 689
= 450
Step2:
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
= 1 / 320
= 1
Step3:
LCM(1, 373) = 373
GCD(1, 373) = ( 1 x 373 ) / 373
= 1 / 373
= 1
So, Greatest Common Divisor of 450, 689, 320, 373 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 689, 320, 373
The greatest common divisor of numbers 450, 689, 320, 373 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 689, 320, 373 is 1.
1. What is the GCD of 450, 689, 320, 373?
GCD of given numbers 450, 689, 320, 373 is 1
2. How to calculate the greatest common divisor of 450, 689, 320, 373?
We can find the highest common divisor of 450, 689, 320, 373 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, 689, 320, 373 i.e 1.
3. How can I use the GCD of 450, 689, 320, 373Calculator?
Out the numbers 450, 689, 320, 373 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.