GCD of 462, 308, 952, 198 Calculator

Given Input numbers are 462, 308, 952, 198

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

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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 (462, 308, 952, 198) = 2.

Given numbers are 462, 308, 952, 198

The list of prime factors of all numbers are

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 462, 308, 952, 198 is 2.

Given numbers are 462, 308, 952, 198

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

Apply this formula for all numbers.

Step1:

LCM(462, 308) = 924

GCD(462, 308) = ( 462 x 308 ) / 924

= 462 / 308

= 462

Step2:

LCM(154, 952) = 10472

GCD(154, 952) = ( 154 x 952 ) / 10472

= 154 / 952

= 154

Step3:

LCM(14, 198) = 1386

GCD(14, 198) = ( 14 x 198 ) / 1386

= 14 / 198

= 14

So, Greatest Common Divisor of 462, 308, 952, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 791, 116, 202
• GCD of 950, 230, 858, 360
• GCD of 703, 978, 798, 954
• GCD of 370, 306, 697, 324
• GCD of 317, 197, 856, 204

Given numbers are 462, 308, 952, 198
The greatest common divisor of numbers 462, 308, 952, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 308, 952, 198 is 2.

1. What is the GCD of 462, 308, 952, 198?

GCD of given numbers 462, 308, 952, 198 is 2

2. How to calculate the greatest common divisor of 462, 308, 952, 198?

We can find the highest common divisor of 462, 308, 952, 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 462, 308, 952, 198 i.e 2.

3. How can I use the GCD of 462, 308, 952, 198Calculator?

Out the numbers 462, 308, 952, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.