GCD of 40, 460, 281, 198 Calculator

Given Input numbers are 40, 460, 281, 198

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

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 40, 460, 281, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 460, 281, 198 is 1.

Therefore, GCD of numbers 40, 460, 281, 198 is 1

Given Input Data is 40, 460, 281, 198

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 281 is 281

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

The above numbers do not have any common prime factor. So GCD is 1

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(40, 460) = 920

GCD(40, 460) = ( 40 x 460 ) / 920

GCD(40, 460) = 18400 / 920

GCD(40, 460) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 281

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

LCM(20, 281) = 5620

GCD(20, 281) = ( 20 x 281 ) / 5620

GCD(20, 281) = 5620 / 5620

GCD(20, 281) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 40, 460, 281, 198 is 1

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• GCD of 85, 751, 266, 443
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• GCD of 74, 306, 366, 657

1. What is the GCD of 40, 460, 281, 198?

GCD of 40, 460, 281, 198 is 1

2. Where do I get the detailed procedure to find GCD of 40, 460, 281, 198?

You can find a detailed procedure to find GCD of 40, 460, 281, 198 on our page.

3. How to find GCD of 40, 460, 281, 198 on a calculator?

You can find the GCD of 40, 460, 281, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.