GCD of 798, 240, 740, 738 Calculator

Given Input numbers are 798, 240, 740, 738

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 798, 240, 740, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 240, 740, 738 is 2.

Therefore, GCD of numbers 798, 240, 740, 738 is 2

Given Input Data is 798, 240, 740, 738

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 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 738 is 2 x 3 x 3 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 240) = 31920

GCD(798, 240) = ( 798 x 240 ) / 31920

GCD(798, 240) = 191520 / 31920

GCD(798, 240) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 740

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

LCM(6, 740) = 2220

GCD(6, 740) = ( 6 x 740 ) / 2220

GCD(6, 740) = 4440 / 2220

GCD(6, 740) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 798, 240, 740, 738 is 2

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1. What is the GCD of 798, 240, 740, 738?

GCD of 798, 240, 740, 738 is 2

2. Where do I get the detailed procedure to find GCD of 798, 240, 740, 738?

You can find a detailed procedure to find GCD of 798, 240, 740, 738 on our page.

3. How to find GCD of 798, 240, 740, 738 on a calculator?

You can find the GCD of 798, 240, 740, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.