GCD of 742, 887, 734, 819 Calculator

Given Input numbers are 742, 887, 734, 819

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 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 742, 887, 734, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 887, 734, 819 is 1.

Therefore, GCD of numbers 742, 887, 734, 819 is 1

Given Input Data is 742, 887, 734, 819

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 887 is 887

Prime Factorization of 734 is 2 x 367

Prime Factorization of 819 is 3 x 3 x 7 x 13

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, 887) = 658154

GCD(742, 887) = ( 742 x 887 ) / 658154

GCD(742, 887) = 658154 / 658154

GCD(742, 887) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 742, 887, 734, 819 is 1

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1. What is the GCD of 742, 887, 734, 819?

GCD of 742, 887, 734, 819 is 1

2. Where do I get the detailed procedure to find GCD of 742, 887, 734, 819?

You can find a detailed procedure to find GCD of 742, 887, 734, 819 on our page.

3. How to find GCD of 742, 887, 734, 819 on a calculator?

You can find the GCD of 742, 887, 734, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.