GCD of 268, 880, 381, 683 Calculator

Given Input numbers are 268, 880, 381, 683

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 268, 880, 381, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 880, 381, 683 is 1.

Therefore, GCD of numbers 268, 880, 381, 683 is 1

Given Input Data is 268, 880, 381, 683

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 381 is 3 x 127

Prime Factorization of 683 is 683

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(268, 880) = 58960

GCD(268, 880) = ( 268 x 880 ) / 58960

GCD(268, 880) = 235840 / 58960

GCD(268, 880) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 381

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

LCM(4, 381) = 1524

GCD(4, 381) = ( 4 x 381 ) / 1524

GCD(4, 381) = 1524 / 1524

GCD(4, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 268, 880, 381, 683 is 1

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1. What is the GCD of 268, 880, 381, 683?

GCD of 268, 880, 381, 683 is 1

2. Where do I get the detailed procedure to find GCD of 268, 880, 381, 683?

You can find a detailed procedure to find GCD of 268, 880, 381, 683 on our page.

3. How to find GCD of 268, 880, 381, 683 on a calculator?

You can find the GCD of 268, 880, 381, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.