GCD of 805, 392, 249, 743 Calculator

Given Input numbers are 805, 392, 249, 743

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 249

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

1, 3, 83, 249

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 805, 392, 249, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 392, 249, 743 is 1.

Therefore, GCD of numbers 805, 392, 249, 743 is 1

Given Input Data is 805, 392, 249, 743

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 249 is 3 x 83

Prime Factorization of 743 is 743

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(805, 392) = 45080

GCD(805, 392) = ( 805 x 392 ) / 45080

GCD(805, 392) = 315560 / 45080

GCD(805, 392) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 249

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

LCM(7, 249) = 1743

GCD(7, 249) = ( 7 x 249 ) / 1743

GCD(7, 249) = 1743 / 1743

GCD(7, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 805, 392, 249, 743 is 1

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1. What is the GCD of 805, 392, 249, 743?

GCD of 805, 392, 249, 743 is 1

2. Where do I get the detailed procedure to find GCD of 805, 392, 249, 743?

You can find a detailed procedure to find GCD of 805, 392, 249, 743 on our page.

3. How to find GCD of 805, 392, 249, 743 on a calculator?

You can find the GCD of 805, 392, 249, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.