GCD of 198, 462, 240, 236 Calculator

Given Input numbers are 198, 462, 240, 236

In the factoring method, we have to find the divisors of all numbers

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

GCD of numbers is the greatest common divisor

So, the GCD (198, 462, 240, 236) = 2.

Given numbers are 198, 462, 240, 236

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 198, 462, 240, 236 is 2.

Given numbers are 198, 462, 240, 236

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(198, 462) = 1386

GCD(198, 462) = ( 198 x 462 ) / 1386

= 198 / 462

= 198

Step2:

LCM(66, 240) = 2640

GCD(66, 240) = ( 66 x 240 ) / 2640

= 66 / 240

= 66

Step3:

LCM(6, 236) = 708

GCD(6, 236) = ( 6 x 236 ) / 708

= 6 / 236

= 6

So, Greatest Common Divisor of 198, 462, 240, 236 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 524, 849, 703
• GCD of 420, 683, 694, 297
• GCD of 229, 315, 700, 305
• GCD of 179, 345, 115, 202
• GCD of 457, 256, 527, 453

Given numbers are 198, 462, 240, 236
The greatest common divisor of numbers 198, 462, 240, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 462, 240, 236 is 2.

1. What is the GCD of 198, 462, 240, 236?

GCD of given numbers 198, 462, 240, 236 is 2

2. How to calculate the greatest common divisor of 198, 462, 240, 236?

We can find the highest common divisor of 198, 462, 240, 236 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 198, 462, 240, 236 i.e 2.

3. How can I use the GCD of 198, 462, 240, 236Calculator?

Out the numbers 198, 462, 240, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.