GCD of 608, 300, 82, 131 Calculator

Given Input numbers are 608, 300, 82, 131

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 608, 300, 82, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 300, 82, 131 is 1.

Therefore, GCD of numbers 608, 300, 82, 131 is 1

Given Input Data is 608, 300, 82, 131

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 82 is 2 x 41

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(608, 300) = 45600

GCD(608, 300) = ( 608 x 300 ) / 45600

GCD(608, 300) = 182400 / 45600

GCD(608, 300) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 82

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

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

GCD(4, 82) = 328 / 164

GCD(4, 82) = 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 608, 300, 82, 131 is 1

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• GCD of 389, 177, 93, 326
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1. What is the GCD of 608, 300, 82, 131?

GCD of 608, 300, 82, 131 is 1

2. Where do I get the detailed procedure to find GCD of 608, 300, 82, 131?

You can find a detailed procedure to find GCD of 608, 300, 82, 131 on our page.

3. How to find GCD of 608, 300, 82, 131 on a calculator?

You can find the GCD of 608, 300, 82, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.