Online GCD Calculator is useful to find the GCD of 450, 834, 270, 198 quickly. Get the easiest ways to solve the greatest common divisor of 450, 834, 270, 198 i.e 6 in different methods as follows.
Given Input numbers are 450, 834, 270, 198
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 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (450, 834, 270, 198) = 6.
Given numbers are 450, 834, 270, 198
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 834 are 2 x 3 x 139
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 450, 834, 270, 198 is 6.
Given numbers are 450, 834, 270, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 834) = 62550
GCD(450, 834) = ( 450 x 834 ) / 62550
= 450 / 834
= 450
Step2:
LCM(6, 270) = 270
GCD(6, 270) = ( 6 x 270 ) / 270
= 6 / 270
= 6
Step3:
LCM(6, 198) = 198
GCD(6, 198) = ( 6 x 198 ) / 198
= 6 / 198
= 6
So, Greatest Common Divisor of 450, 834, 270, 198 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 834, 270, 198
The greatest common divisor of numbers 450, 834, 270, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 834, 270, 198 is 6.
1. What is the GCD of 450, 834, 270, 198?
GCD of given numbers 450, 834, 270, 198 is 6
2. How to calculate the greatest common divisor of 450, 834, 270, 198?
We can find the highest common divisor of 450, 834, 270, 198 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, 834, 270, 198 i.e 6.
3. How can I use the GCD of 450, 834, 270, 198Calculator?
Out the numbers 450, 834, 270, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.