GCD of 748, 574, 155, 130 Calculator

Given Input numbers are 748, 574, 155, 130

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

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 130

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

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

Greatest Common Divisior

We found the divisors of 748, 574, 155, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 574, 155, 130 is 1.

Therefore, GCD of numbers 748, 574, 155, 130 is 1

Given Input Data is 748, 574, 155, 130

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

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 155 is 5 x 31

Prime Factorization of 130 is 2 x 5 x 13

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(748, 574) = 214676

GCD(748, 574) = ( 748 x 574 ) / 214676

GCD(748, 574) = 429352 / 214676

GCD(748, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 155

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

LCM(2, 155) = 310

GCD(2, 155) = ( 2 x 155 ) / 310

GCD(2, 155) = 310 / 310

GCD(2, 155) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 748, 574, 155, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 731, 572, 153
• GCD of 442, 395, 206, 135
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• GCD of 903, 592, 848, 248
• GCD of 451, 513, 351, 538

1. What is the GCD of 748, 574, 155, 130?

GCD of 748, 574, 155, 130 is 1

2. Where do I get the detailed procedure to find GCD of 748, 574, 155, 130?

You can find a detailed procedure to find GCD of 748, 574, 155, 130 on our page.

3. How to find GCD of 748, 574, 155, 130 on a calculator?

You can find the GCD of 748, 574, 155, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.