GCD of 713, 874, 383, 410 Calculator

Given Input numbers are 713, 874, 383, 410

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 713, 874, 383, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 874, 383, 410 is 1.

Therefore, GCD of numbers 713, 874, 383, 410 is 1

Given Input Data is 713, 874, 383, 410

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 383 is 383

Prime Factorization of 410 is 2 x 5 x 41

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, 874) = 27094

GCD(713, 874) = ( 713 x 874 ) / 27094

GCD(713, 874) = 623162 / 27094

GCD(713, 874) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 383

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

LCM(23, 383) = 8809

GCD(23, 383) = ( 23 x 383 ) / 8809

GCD(23, 383) = 8809 / 8809

GCD(23, 383) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

GCD of 713, 874, 383, 410 is 1

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1. What is the GCD of 713, 874, 383, 410?

GCD of 713, 874, 383, 410 is 1

2. Where do I get the detailed procedure to find GCD of 713, 874, 383, 410?

You can find a detailed procedure to find GCD of 713, 874, 383, 410 on our page.

3. How to find GCD of 713, 874, 383, 410 on a calculator?

You can find the GCD of 713, 874, 383, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.