GCD of 520, 744, 74 Calculator

Given Input numbers are 520, 744, 74

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 520, 744, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 744, 74 is 2.

Therefore, GCD of numbers 520, 744, 74 is 2

Given Input Data is 520, 744, 74

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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

Prime Factorization of 74 is 2 x 37

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(520, 744) = 48360

GCD(520, 744) = ( 520 x 744 ) / 48360

GCD(520, 744) = 386880 / 48360

GCD(520, 744) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 74

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

LCM(8, 74) = 296

GCD(8, 74) = ( 8 x 74 ) / 296

GCD(8, 74) = 592 / 296

GCD(8, 74) = 2

GCD of 520, 744, 74 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 180, 23
• GCD of 688, 488, 58
• GCD of 916, 446, 48
• GCD of 444, 881, 59
• GCD of 478, 176, 65

1. What is the GCD of 520, 744, 74?

GCD of 520, 744, 74 is 2

2. Where do I get the detailed procedure to find GCD of 520, 744, 74?

You can find a detailed procedure to find GCD of 520, 744, 74 on our page.

3. How to find GCD of 520, 744, 74 on a calculator?

You can find the GCD of 520, 744, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.