GCD of 209, 802, 762, 381 Calculator

Given Input numbers are 209, 802, 762, 381

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 381

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

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 209, 802, 762, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 802, 762, 381 is 1.

Therefore, GCD of numbers 209, 802, 762, 381 is 1

Given Input Data is 209, 802, 762, 381

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 802 is 2 x 401

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 381 is 3 x 127

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(209, 802) = 167618

GCD(209, 802) = ( 209 x 802 ) / 167618

GCD(209, 802) = 167618 / 167618

GCD(209, 802) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 209, 802, 762, 381 is 1

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1. What is the GCD of 209, 802, 762, 381?

GCD of 209, 802, 762, 381 is 1

2. Where do I get the detailed procedure to find GCD of 209, 802, 762, 381?

You can find a detailed procedure to find GCD of 209, 802, 762, 381 on our page.

3. How to find GCD of 209, 802, 762, 381 on a calculator?

You can find the GCD of 209, 802, 762, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.