GCD of 791, 900, 31, 754 Calculator

Given Input numbers are 791, 900, 31, 754

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 31

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

1, 31

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 791, 900, 31, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 900, 31, 754 is 1.

Therefore, GCD of numbers 791, 900, 31, 754 is 1

Given Input Data is 791, 900, 31, 754

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 31 is 31

Prime Factorization of 754 is 2 x 13 x 29

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(791, 900) = 711900

GCD(791, 900) = ( 791 x 900 ) / 711900

GCD(791, 900) = 711900 / 711900

GCD(791, 900) = 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 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 791, 900, 31, 754 is 1

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1. What is the GCD of 791, 900, 31, 754?

GCD of 791, 900, 31, 754 is 1

2. Where do I get the detailed procedure to find GCD of 791, 900, 31, 754?

You can find a detailed procedure to find GCD of 791, 900, 31, 754 on our page.

3. How to find GCD of 791, 900, 31, 754 on a calculator?

You can find the GCD of 791, 900, 31, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.