GCD of 791, 842, 75, 746 Calculator

Given Input numbers are 791, 842, 75, 746

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 842

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

1, 2, 421, 842

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 791, 842, 75, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 842, 75, 746 is 1.

Therefore, GCD of numbers 791, 842, 75, 746 is 1

Given Input Data is 791, 842, 75, 746

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 842 is 2 x 421

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 746 is 2 x 373

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, 842) = 666022

GCD(791, 842) = ( 791 x 842 ) / 666022

GCD(791, 842) = 666022 / 666022

GCD(791, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 791, 842, 75, 746 is 1

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1. What is the GCD of 791, 842, 75, 746?

GCD of 791, 842, 75, 746 is 1

2. Where do I get the detailed procedure to find GCD of 791, 842, 75, 746?

You can find a detailed procedure to find GCD of 791, 842, 75, 746 on our page.

3. How to find GCD of 791, 842, 75, 746 on a calculator?

You can find the GCD of 791, 842, 75, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.