Online GCD Calculator is useful to find the GCD of 450, 168, 908, 892 quickly. Get the easiest ways to solve the greatest common divisor of 450, 168, 908, 892 i.e 2 in different methods as follows.
Given Input numbers are 450, 168, 908, 892
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (450, 168, 908, 892) = 2.
Given numbers are 450, 168, 908, 892
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 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 908 are 2 x 2 x 227
Prime factors of 892 are 2 x 2 x 223
The highest common occurrence is 21
Therefore, GCD of 450, 168, 908, 892 is 2.
Given numbers are 450, 168, 908, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 168) = 12600
GCD(450, 168) = ( 450 x 168 ) / 12600
= 450 / 168
= 450
Step2:
LCM(6, 908) = 2724
GCD(6, 908) = ( 6 x 908 ) / 2724
= 6 / 908
= 6
Step3:
LCM(2, 892) = 892
GCD(2, 892) = ( 2 x 892 ) / 892
= 2 / 892
= 2
So, Greatest Common Divisor of 450, 168, 908, 892 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 168, 908, 892
The greatest common divisor of numbers 450, 168, 908, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 168, 908, 892 is 2.
1. What is the GCD of 450, 168, 908, 892?
GCD of given numbers 450, 168, 908, 892 is 2
2. How to calculate the greatest common divisor of 450, 168, 908, 892?
We can find the highest common divisor of 450, 168, 908, 892 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, 168, 908, 892 i.e 2.
3. How can I use the GCD of 450, 168, 908, 892Calculator?
Out the numbers 450, 168, 908, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.