GCD of 278, 250, 591, 764 Calculator

Given Input numbers are 278, 250, 591, 764

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

Divisors of 278

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

1, 2, 139, 278

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 764

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

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 278, 250, 591, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 250, 591, 764 is 1.

Therefore, GCD of numbers 278, 250, 591, 764 is 1

Given Input Data is 278, 250, 591, 764

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 591 is 3 x 197

Prime Factorization of 764 is 2 x 2 x 191

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(278, 250) = 34750

GCD(278, 250) = ( 278 x 250 ) / 34750

GCD(278, 250) = 69500 / 34750

GCD(278, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 591

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

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

GCD(2, 591) = 1182 / 1182

GCD(2, 591) = 1

Step3:

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

GCD of 278, 250, 591, 764 is 1

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1. What is the GCD of 278, 250, 591, 764?

GCD of 278, 250, 591, 764 is 1

2. Where do I get the detailed procedure to find GCD of 278, 250, 591, 764?

You can find a detailed procedure to find GCD of 278, 250, 591, 764 on our page.

3. How to find GCD of 278, 250, 591, 764 on a calculator?

You can find the GCD of 278, 250, 591, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.