GCD of 382, 748, 277, 622 Calculator

Given Input numbers are 382, 748, 277, 622

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 382, 748, 277, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 748, 277, 622 is 1.

Therefore, GCD of numbers 382, 748, 277, 622 is 1

Given Input Data is 382, 748, 277, 622

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 277 is 277

Prime Factorization of 622 is 2 x 311

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(382, 748) = 142868

GCD(382, 748) = ( 382 x 748 ) / 142868

GCD(382, 748) = 285736 / 142868

GCD(382, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 277

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

LCM(2, 277) = 554

GCD(2, 277) = ( 2 x 277 ) / 554

GCD(2, 277) = 554 / 554

GCD(2, 277) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

GCD of 382, 748, 277, 622 is 1

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1. What is the GCD of 382, 748, 277, 622?

GCD of 382, 748, 277, 622 is 1

2. Where do I get the detailed procedure to find GCD of 382, 748, 277, 622?

You can find a detailed procedure to find GCD of 382, 748, 277, 622 on our page.

3. How to find GCD of 382, 748, 277, 622 on a calculator?

You can find the GCD of 382, 748, 277, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.