GCD of 58, 440, 838, 133 Calculator

Given Input numbers are 58, 440, 838, 133

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 58, 440, 838, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 440, 838, 133 is 1.

Therefore, GCD of numbers 58, 440, 838, 133 is 1

Given Input Data is 58, 440, 838, 133

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 838 is 2 x 419

Prime Factorization of 133 is 7 x 19

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(58, 440) = 12760

GCD(58, 440) = ( 58 x 440 ) / 12760

GCD(58, 440) = 25520 / 12760

GCD(58, 440) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

GCD of 58, 440, 838, 133 is 1

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• GCD of 77, 145, 524, 899
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1. What is the GCD of 58, 440, 838, 133?

GCD of 58, 440, 838, 133 is 1

2. Where do I get the detailed procedure to find GCD of 58, 440, 838, 133?

You can find a detailed procedure to find GCD of 58, 440, 838, 133 on our page.

3. How to find GCD of 58, 440, 838, 133 on a calculator?

You can find the GCD of 58, 440, 838, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.