GCD of 44, 130, 410, 629 Calculator

Given Input numbers are 44, 130, 410, 629

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 44, 130, 410, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 130, 410, 629 is 1.

Therefore, GCD of numbers 44, 130, 410, 629 is 1

Given Input Data is 44, 130, 410, 629

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 629 is 17 x 37

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(44, 130) = 2860

GCD(44, 130) = ( 44 x 130 ) / 2860

GCD(44, 130) = 5720 / 2860

GCD(44, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 410

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

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

GCD(2, 410) = 820 / 410

GCD(2, 410) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 629

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

LCM(2, 629) = 1258

GCD(2, 629) = ( 2 x 629 ) / 1258

GCD(2, 629) = 1258 / 1258

GCD(2, 629) = 1

GCD of 44, 130, 410, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 537, 100, 811
• GCD of 95, 377, 224, 512
• GCD of 71, 104, 225, 586
• GCD of 90, 561, 824, 351
• GCD of 38, 911, 256, 927

1. What is the GCD of 44, 130, 410, 629?

GCD of 44, 130, 410, 629 is 1

2. Where do I get the detailed procedure to find GCD of 44, 130, 410, 629?

You can find a detailed procedure to find GCD of 44, 130, 410, 629 on our page.

3. How to find GCD of 44, 130, 410, 629 on a calculator?

You can find the GCD of 44, 130, 410, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.