GCD of 742, 789, 38, 926 Calculator

Given Input numbers are 742, 789, 38, 926

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 742, 789, 38, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 789, 38, 926 is 1.

Therefore, GCD of numbers 742, 789, 38, 926 is 1

Given Input Data is 742, 789, 38, 926

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 789 is 3 x 263

Prime Factorization of 38 is 2 x 19

Prime Factorization of 926 is 2 x 463

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, 789) = 585438

GCD(742, 789) = ( 742 x 789 ) / 585438

GCD(742, 789) = 585438 / 585438

GCD(742, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 926

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

LCM(1, 926) = 926

GCD(1, 926) = ( 1 x 926 ) / 926

GCD(1, 926) = 926 / 926

GCD(1, 926) = 1

GCD of 742, 789, 38, 926 is 1

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1. What is the GCD of 742, 789, 38, 926?

GCD of 742, 789, 38, 926 is 1

2. Where do I get the detailed procedure to find GCD of 742, 789, 38, 926?

You can find a detailed procedure to find GCD of 742, 789, 38, 926 on our page.

3. How to find GCD of 742, 789, 38, 926 on a calculator?

You can find the GCD of 742, 789, 38, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.