GCD of 798, 744, 37, 926 Calculator

Given Input numbers are 798, 744, 37, 926

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

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 798, 744, 37, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 744, 37, 926 is 1.

Therefore, GCD of numbers 798, 744, 37, 926 is 1

Given Input Data is 798, 744, 37, 926

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 37 is 37

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(798, 744) = 98952

GCD(798, 744) = ( 798 x 744 ) / 98952

GCD(798, 744) = 593712 / 98952

GCD(798, 744) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 37

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

LCM(6, 37) = 222

GCD(6, 37) = ( 6 x 37 ) / 222

GCD(6, 37) = 222 / 222

GCD(6, 37) = 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 798, 744, 37, 926 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 917, 19, 290
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• GCD of 520, 870, 34, 887

1. What is the GCD of 798, 744, 37, 926?

GCD of 798, 744, 37, 926 is 1

2. Where do I get the detailed procedure to find GCD of 798, 744, 37, 926?

You can find a detailed procedure to find GCD of 798, 744, 37, 926 on our page.

3. How to find GCD of 798, 744, 37, 926 on a calculator?

You can find the GCD of 798, 744, 37, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.