GCD of 742, 842, 791 Calculator

Given Input numbers are 742, 842, 791

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 791

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

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 742, 842, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 842, 791 is 1.

Therefore, GCD of numbers 742, 842, 791 is 1

Given Input Data is 742, 842, 791

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 842 is 2 x 421

Prime Factorization of 791 is 7 x 113

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(742, 842) = 312382

GCD(742, 842) = ( 742 x 842 ) / 312382

GCD(742, 842) = 624764 / 312382

GCD(742, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 791

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

LCM(2, 791) = 1582

GCD(2, 791) = ( 2 x 791 ) / 1582

GCD(2, 791) = 1582 / 1582

GCD(2, 791) = 1

GCD of 742, 842, 791 is 1

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1. What is the GCD of 742, 842, 791?

GCD of 742, 842, 791 is 1

2. Where do I get the detailed procedure to find GCD of 742, 842, 791?

You can find a detailed procedure to find GCD of 742, 842, 791 on our page.

3. How to find GCD of 742, 842, 791 on a calculator?

You can find the GCD of 742, 842, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.