GCD of 738, 744, 77, 226 Calculator

Given Input numbers are 738, 744, 77, 226

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 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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 738, 744, 77, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 744, 77, 226 is 1.

Therefore, GCD of numbers 738, 744, 77, 226 is 1

Given Input Data is 738, 744, 77, 226

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 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 77 is 7 x 11

Prime Factorization of 226 is 2 x 113

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(738, 744) = 91512

GCD(738, 744) = ( 738 x 744 ) / 91512

GCD(738, 744) = 549072 / 91512

GCD(738, 744) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 77

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

LCM(6, 77) = 462

GCD(6, 77) = ( 6 x 77 ) / 462

GCD(6, 77) = 462 / 462

GCD(6, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 738, 744, 77, 226 is 1

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1. What is the GCD of 738, 744, 77, 226?

GCD of 738, 744, 77, 226 is 1

2. Where do I get the detailed procedure to find GCD of 738, 744, 77, 226?

You can find a detailed procedure to find GCD of 738, 744, 77, 226 on our page.

3. How to find GCD of 738, 744, 77, 226 on a calculator?

You can find the GCD of 738, 744, 77, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.