GCD of 130, 524, 77, 445 Calculator

Given Input numbers are 130, 524, 77, 445

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 130, 524, 77, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 524, 77, 445 is 1.

Therefore, GCD of numbers 130, 524, 77, 445 is 1

Given Input Data is 130, 524, 77, 445

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 77 is 7 x 11

Prime Factorization of 445 is 5 x 89

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(130, 524) = 34060

GCD(130, 524) = ( 130 x 524 ) / 34060

GCD(130, 524) = 68120 / 34060

GCD(130, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

GCD of 130, 524, 77, 445 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 929, 28, 712
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• GCD of 845, 847, 49, 923
• GCD of 698, 948, 15, 877

1. What is the GCD of 130, 524, 77, 445?

GCD of 130, 524, 77, 445 is 1

2. Where do I get the detailed procedure to find GCD of 130, 524, 77, 445?

You can find a detailed procedure to find GCD of 130, 524, 77, 445 on our page.

3. How to find GCD of 130, 524, 77, 445 on a calculator?

You can find the GCD of 130, 524, 77, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.