GCD of 488, 468, 62, 198 Calculator

Given Input numbers are 488, 468, 62, 198

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 488, 468, 62, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 468, 62, 198 is 2.

Therefore, GCD of numbers 488, 468, 62, 198 is 2

Given Input Data is 488, 468, 62, 198

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 62 is 2 x 31

Prime Factorization of 198 is 2 x 3 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(488, 468) = 57096

GCD(488, 468) = ( 488 x 468 ) / 57096

GCD(488, 468) = 228384 / 57096

GCD(488, 468) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 62

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

LCM(4, 62) = 124

GCD(4, 62) = ( 4 x 62 ) / 124

GCD(4, 62) = 248 / 124

GCD(4, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 488, 468, 62, 198 is 2

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• GCD of 952, 624, 96, 680
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1. What is the GCD of 488, 468, 62, 198?

GCD of 488, 468, 62, 198 is 2

2. Where do I get the detailed procedure to find GCD of 488, 468, 62, 198?

You can find a detailed procedure to find GCD of 488, 468, 62, 198 on our page.

3. How to find GCD of 488, 468, 62, 198 on a calculator?

You can find the GCD of 488, 468, 62, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.