GCD of 238, 305, 763, 491 Calculator

Given Input numbers are 238, 305, 763, 491

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 238, 305, 763, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 305, 763, 491 is 1.

Therefore, GCD of numbers 238, 305, 763, 491 is 1

Given Input Data is 238, 305, 763, 491

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 305 is 5 x 61

Prime Factorization of 763 is 7 x 109

Prime Factorization of 491 is 491

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, 305) = 72590

GCD(238, 305) = ( 238 x 305 ) / 72590

GCD(238, 305) = 72590 / 72590

GCD(238, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 238, 305, 763, 491 is 1

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1. What is the GCD of 238, 305, 763, 491?

GCD of 238, 305, 763, 491 is 1

2. Where do I get the detailed procedure to find GCD of 238, 305, 763, 491?

You can find a detailed procedure to find GCD of 238, 305, 763, 491 on our page.

3. How to find GCD of 238, 305, 763, 491 on a calculator?

You can find the GCD of 238, 305, 763, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.