Online GCD Calculator is useful to find the GCD of 450, 421, 644, 112 quickly. Get the easiest ways to solve the greatest common divisor of 450, 421, 644, 112 i.e 1 in different methods as follows.
Given Input numbers are 450, 421, 644, 112
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 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (450, 421, 644, 112) = 1.
Given numbers are 450, 421, 644, 112
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 421 are 421
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 450, 421, 644, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 421) = 189450
GCD(450, 421) = ( 450 x 421 ) / 189450
= 450 / 421
= 450
Step2:
LCM(1, 644) = 644
GCD(1, 644) = ( 1 x 644 ) / 644
= 1 / 644
= 1
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 450, 421, 644, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 421, 644, 112
The greatest common divisor of numbers 450, 421, 644, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 421, 644, 112 is 1.
1. What is the GCD of 450, 421, 644, 112?
GCD of given numbers 450, 421, 644, 112 is 1
2. How to calculate the greatest common divisor of 450, 421, 644, 112?
We can find the highest common divisor of 450, 421, 644, 112 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, 421, 644, 112 i.e 1.
3. How can I use the GCD of 450, 421, 644, 112Calculator?
Out the numbers 450, 421, 644, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.