GCD of 238, 783, 74, 130 Calculator

Given Input numbers are 238, 783, 74, 130

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 238, 783, 74, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 783, 74, 130 is 1.

Therefore, GCD of numbers 238, 783, 74, 130 is 1

Given Input Data is 238, 783, 74, 130

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 74 is 2 x 37

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(238, 783) = 186354

GCD(238, 783) = ( 238 x 783 ) / 186354

GCD(238, 783) = 186354 / 186354

GCD(238, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 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 238, 783, 74, 130 is 1

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• GCD of 143, 465, 38, 859
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1. What is the GCD of 238, 783, 74, 130?

GCD of 238, 783, 74, 130 is 1

2. Where do I get the detailed procedure to find GCD of 238, 783, 74, 130?

You can find a detailed procedure to find GCD of 238, 783, 74, 130 on our page.

3. How to find GCD of 238, 783, 74, 130 on a calculator?

You can find the GCD of 238, 783, 74, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.