GCD of 71, 688, 797, 300 Calculator

Given Input numbers are 71, 688, 797, 300

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

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 71, 688, 797, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 688, 797, 300 is 1.

Therefore, GCD of numbers 71, 688, 797, 300 is 1

Given Input Data is 71, 688, 797, 300

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

Prime Factorization of 71 is 71

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 797 is 797

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(71, 688) = 48848

GCD(71, 688) = ( 71 x 688 ) / 48848

GCD(71, 688) = 48848 / 48848

GCD(71, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 797

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

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

GCD(1, 797) = 797 / 797

GCD(1, 797) = 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 71, 688, 797, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 909, 924, 998
• GCD of 26, 630, 385, 792
• GCD of 94, 776, 400, 549
• GCD of 20, 253, 926, 422
• GCD of 39, 815, 536, 536

1. What is the GCD of 71, 688, 797, 300?

GCD of 71, 688, 797, 300 is 1

2. Where do I get the detailed procedure to find GCD of 71, 688, 797, 300?

You can find a detailed procedure to find GCD of 71, 688, 797, 300 on our page.

3. How to find GCD of 71, 688, 797, 300 on a calculator?

You can find the GCD of 71, 688, 797, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.