GCD of 762, 218, 449, 380 Calculator

Given Input numbers are 762, 218, 449, 380

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

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 218

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

1, 2, 109, 218

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 762, 218, 449, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 218, 449, 380 is 1.

Therefore, GCD of numbers 762, 218, 449, 380 is 1

Given Input Data is 762, 218, 449, 380

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 218 is 2 x 109

Prime Factorization of 449 is 449

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(762, 218) = 83058

GCD(762, 218) = ( 762 x 218 ) / 83058

GCD(762, 218) = 166116 / 83058

GCD(762, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 449

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

LCM(2, 449) = 898

GCD(2, 449) = ( 2 x 449 ) / 898

GCD(2, 449) = 898 / 898

GCD(2, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 762, 218, 449, 380 is 1

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1. What is the GCD of 762, 218, 449, 380?

GCD of 762, 218, 449, 380 is 1

2. Where do I get the detailed procedure to find GCD of 762, 218, 449, 380?

You can find a detailed procedure to find GCD of 762, 218, 449, 380 on our page.

3. How to find GCD of 762, 218, 449, 380 on a calculator?

You can find the GCD of 762, 218, 449, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.