GCD of 712, 249, 31, 300 Calculator

Given Input numbers are 712, 249, 31, 300

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 31

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

1, 31

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 712, 249, 31, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 249, 31, 300 is 1.

Therefore, GCD of numbers 712, 249, 31, 300 is 1

Given Input Data is 712, 249, 31, 300

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 249 is 3 x 83

Prime Factorization of 31 is 31

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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(712, 249) = 177288

GCD(712, 249) = ( 712 x 249 ) / 177288

GCD(712, 249) = 177288 / 177288

GCD(712, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 712, 249, 31, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 802, 56, 711
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• GCD of 893, 914, 60, 964
• GCD of 766, 188, 60, 390
• GCD of 354, 130, 40, 895

1. What is the GCD of 712, 249, 31, 300?

GCD of 712, 249, 31, 300 is 1

2. Where do I get the detailed procedure to find GCD of 712, 249, 31, 300?

You can find a detailed procedure to find GCD of 712, 249, 31, 300 on our page.

3. How to find GCD of 712, 249, 31, 300 on a calculator?

You can find the GCD of 712, 249, 31, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.