GCD of 130, 837, 553, 308 Calculator

Given Input numbers are 130, 837, 553, 308

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 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 130, 837, 553, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 837, 553, 308 is 1.

Therefore, GCD of numbers 130, 837, 553, 308 is 1

Given Input Data is 130, 837, 553, 308

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 837 is 3 x 3 x 3 x 31

Prime Factorization of 553 is 7 x 79

Prime Factorization of 308 is 2 x 2 x 7 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(130, 837) = 108810

GCD(130, 837) = ( 130 x 837 ) / 108810

GCD(130, 837) = 108810 / 108810

GCD(130, 837) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 130, 837, 553, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 408, 401, 864
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• GCD of 442, 266, 144, 864
• GCD of 885, 918, 136, 670
• GCD of 225, 308, 876, 268

1. What is the GCD of 130, 837, 553, 308?

GCD of 130, 837, 553, 308 is 1

2. Where do I get the detailed procedure to find GCD of 130, 837, 553, 308?

You can find a detailed procedure to find GCD of 130, 837, 553, 308 on our page.

3. How to find GCD of 130, 837, 553, 308 on a calculator?

You can find the GCD of 130, 837, 553, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.