GCD of 130, 594, 748, 643 Calculator

Given Input numbers are 130, 594, 748, 643

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 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 130, 594, 748, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 594, 748, 643 is 1.

Therefore, GCD of numbers 130, 594, 748, 643 is 1

Given Input Data is 130, 594, 748, 643

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 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 643 is 643

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, 594) = 38610

GCD(130, 594) = ( 130 x 594 ) / 38610

GCD(130, 594) = 77220 / 38610

GCD(130, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 643

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

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

GCD(2, 643) = 1286 / 1286

GCD(2, 643) = 1

GCD of 130, 594, 748, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 113, 956, 137
• GCD of 791, 224, 430, 209
• GCD of 704, 222, 945, 955
• GCD of 587, 200, 921, 123
• GCD of 820, 100, 715, 263

1. What is the GCD of 130, 594, 748, 643?

GCD of 130, 594, 748, 643 is 1

2. Where do I get the detailed procedure to find GCD of 130, 594, 748, 643?

You can find a detailed procedure to find GCD of 130, 594, 748, 643 on our page.

3. How to find GCD of 130, 594, 748, 643 on a calculator?

You can find the GCD of 130, 594, 748, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.