GCD of 381, 360, 761, 218 Calculator

Given Input numbers are 381, 360, 761, 218

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

Divisors of 381

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

1, 3, 127, 381

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 381, 360, 761, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 360, 761, 218 is 1.

Therefore, GCD of numbers 381, 360, 761, 218 is 1

Given Input Data is 381, 360, 761, 218

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 761 is 761

Prime Factorization of 218 is 2 x 109

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(381, 360) = 45720

GCD(381, 360) = ( 381 x 360 ) / 45720

GCD(381, 360) = 137160 / 45720

GCD(381, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 761

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

LCM(3, 761) = 2283

GCD(3, 761) = ( 3 x 761 ) / 2283

GCD(3, 761) = 2283 / 2283

GCD(3, 761) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 381, 360, 761, 218 is 1

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• GCD of 986, 391, 662, 829
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1. What is the GCD of 381, 360, 761, 218?

GCD of 381, 360, 761, 218 is 1

2. Where do I get the detailed procedure to find GCD of 381, 360, 761, 218?

You can find a detailed procedure to find GCD of 381, 360, 761, 218 on our page.

3. How to find GCD of 381, 360, 761, 218 on a calculator?

You can find the GCD of 381, 360, 761, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.