GCD of 450, 834, 270, 198 Calculator

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.

• GCD of 590, 637, 954, 467
• GCD of 951, 182, 663, 341
• GCD of 270, 288, 378, 133
• GCD of 664, 413, 139, 434
• GCD of 927, 537, 937, 401

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.