GCD of 331, 219, 764, 278 Calculator

Given Input numbers are 331, 219, 764, 278

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 331, 219, 764, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 219, 764, 278 is 1.

Therefore, GCD of numbers 331, 219, 764, 278 is 1

Given Input Data is 331, 219, 764, 278

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

Prime Factorization of 331 is 331

Prime Factorization of 219 is 3 x 73

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 278 is 2 x 139

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(331, 219) = 72489

GCD(331, 219) = ( 331 x 219 ) / 72489

GCD(331, 219) = 72489 / 72489

GCD(331, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 331, 219, 764, 278 is 1

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1. What is the GCD of 331, 219, 764, 278?

GCD of 331, 219, 764, 278 is 1

2. Where do I get the detailed procedure to find GCD of 331, 219, 764, 278?

You can find a detailed procedure to find GCD of 331, 219, 764, 278 on our page.

3. How to find GCD of 331, 219, 764, 278 on a calculator?

You can find the GCD of 331, 219, 764, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.