GCD of 380, 856, 755, 898 Calculator

Given Input numbers are 380, 856, 755, 898

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

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 380, 856, 755, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 856, 755, 898 is 1.

Therefore, GCD of numbers 380, 856, 755, 898 is 1

Given Input Data is 380, 856, 755, 898

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

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 755 is 5 x 151

Prime Factorization of 898 is 2 x 449

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(380, 856) = 81320

GCD(380, 856) = ( 380 x 856 ) / 81320

GCD(380, 856) = 325280 / 81320

GCD(380, 856) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 755

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

LCM(4, 755) = 3020

GCD(4, 755) = ( 4 x 755 ) / 3020

GCD(4, 755) = 3020 / 3020

GCD(4, 755) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 380, 856, 755, 898 is 1

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1. What is the GCD of 380, 856, 755, 898?

GCD of 380, 856, 755, 898 is 1

2. Where do I get the detailed procedure to find GCD of 380, 856, 755, 898?

You can find a detailed procedure to find GCD of 380, 856, 755, 898 on our page.

3. How to find GCD of 380, 856, 755, 898 on a calculator?

You can find the GCD of 380, 856, 755, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.