GCD of 830, 476, 30, 131 Calculator

Given Input numbers are 830, 476, 30, 131

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 830, 476, 30, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 476, 30, 131 is 1.

Therefore, GCD of numbers 830, 476, 30, 131 is 1

Given Input Data is 830, 476, 30, 131

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 131 is 131

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(830, 476) = 197540

GCD(830, 476) = ( 830 x 476 ) / 197540

GCD(830, 476) = 395080 / 197540

GCD(830, 476) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

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

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

GCD of 830, 476, 30, 131 is 1

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• GCD of 678, 501, 84, 343
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1. What is the GCD of 830, 476, 30, 131?

GCD of 830, 476, 30, 131 is 1

2. Where do I get the detailed procedure to find GCD of 830, 476, 30, 131?

You can find a detailed procedure to find GCD of 830, 476, 30, 131 on our page.

3. How to find GCD of 830, 476, 30, 131 on a calculator?

You can find the GCD of 830, 476, 30, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.