GCD of 738, 824, 754 Calculator

Given Input numbers are 738, 824, 754

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

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 738, 824, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 824, 754 is 2.

Therefore, GCD of numbers 738, 824, 754 is 2

Given Input Data is 738, 824, 754

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

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 754 is 2 x 13 x 29

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(738, 824) = 304056

GCD(738, 824) = ( 738 x 824 ) / 304056

GCD(738, 824) = 608112 / 304056

GCD(738, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 754

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

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

GCD(2, 754) = 1508 / 754

GCD(2, 754) = 2

GCD of 738, 824, 754 is 2

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1. What is the GCD of 738, 824, 754?

GCD of 738, 824, 754 is 2

2. Where do I get the detailed procedure to find GCD of 738, 824, 754?

You can find a detailed procedure to find GCD of 738, 824, 754 on our page.

3. How to find GCD of 738, 824, 754 on a calculator?

You can find the GCD of 738, 824, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.