GCD of 713, 780, 871, 733 Calculator

Given Input numbers are 713, 780, 871, 733

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 713, 780, 871, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 780, 871, 733 is 1.

Therefore, GCD of numbers 713, 780, 871, 733 is 1

Given Input Data is 713, 780, 871, 733

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 871 is 13 x 67

Prime Factorization of 733 is 733

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(713, 780) = 556140

GCD(713, 780) = ( 713 x 780 ) / 556140

GCD(713, 780) = 556140 / 556140

GCD(713, 780) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 713, 780, 871, 733 is 1

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1. What is the GCD of 713, 780, 871, 733?

GCD of 713, 780, 871, 733 is 1

2. Where do I get the detailed procedure to find GCD of 713, 780, 871, 733?

You can find a detailed procedure to find GCD of 713, 780, 871, 733 on our page.

3. How to find GCD of 713, 780, 871, 733 on a calculator?

You can find the GCD of 713, 780, 871, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.