GCD of 31, 727, 325, 278 Calculator

Given Input numbers are 31, 727, 325, 278

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

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 31, 727, 325, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 727, 325, 278 is 1.

Therefore, GCD of numbers 31, 727, 325, 278 is 1

Given Input Data is 31, 727, 325, 278

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

Prime Factorization of 31 is 31

Prime Factorization of 727 is 727

Prime Factorization of 325 is 5 x 5 x 13

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(31, 727) = 22537

GCD(31, 727) = ( 31 x 727 ) / 22537

GCD(31, 727) = 22537 / 22537

GCD(31, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 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 31, 727, 325, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 702, 378, 946
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• GCD of 27, 665, 864, 659
• GCD of 59, 530, 589, 987
• GCD of 13, 649, 667, 589

1. What is the GCD of 31, 727, 325, 278?

GCD of 31, 727, 325, 278 is 1

2. Where do I get the detailed procedure to find GCD of 31, 727, 325, 278?

You can find a detailed procedure to find GCD of 31, 727, 325, 278 on our page.

3. How to find GCD of 31, 727, 325, 278 on a calculator?

You can find the GCD of 31, 727, 325, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.