Online GCD Calculator is useful to find the GCD of 450, 423, 149, 792 quickly. Get the easiest ways to solve the greatest common divisor of 450, 423, 149, 792 i.e 1 in different methods as follows.
Given Input numbers are 450, 423, 149, 792
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 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
GCD of numbers is the greatest common divisor
So, the GCD (450, 423, 149, 792) = 1.
Given numbers are 450, 423, 149, 792
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 423 are 3 x 3 x 47
Prime factors of 149 are 149
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 450, 423, 149, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 423) = 21150
GCD(450, 423) = ( 450 x 423 ) / 21150
= 450 / 423
= 450
Step2:
LCM(9, 149) = 1341
GCD(9, 149) = ( 9 x 149 ) / 1341
= 9 / 149
= 9
Step3:
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
= 1 / 792
= 1
So, Greatest Common Divisor of 450, 423, 149, 792 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 423, 149, 792
The greatest common divisor of numbers 450, 423, 149, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 423, 149, 792 is 1.
1. What is the GCD of 450, 423, 149, 792?
GCD of given numbers 450, 423, 149, 792 is 1
2. How to calculate the greatest common divisor of 450, 423, 149, 792?
We can find the highest common divisor of 450, 423, 149, 792 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, 423, 149, 792 i.e 1.
3. How can I use the GCD of 450, 423, 149, 792Calculator?
Out the numbers 450, 423, 149, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.