GCD of 743, 438, 78, 726 Calculator

Given Input numbers are 743, 438, 78, 726

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 743, 438, 78, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 438, 78, 726 is 1.

Therefore, GCD of numbers 743, 438, 78, 726 is 1

Given Input Data is 743, 438, 78, 726

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

Prime Factorization of 743 is 743

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(743, 438) = 325434

GCD(743, 438) = ( 743 x 438 ) / 325434

GCD(743, 438) = 325434 / 325434

GCD(743, 438) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 743, 438, 78, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 796, 10, 663
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• GCD of 417, 141, 12, 439
• GCD of 673, 974, 45, 341

1. What is the GCD of 743, 438, 78, 726?

GCD of 743, 438, 78, 726 is 1

2. Where do I get the detailed procedure to find GCD of 743, 438, 78, 726?

You can find a detailed procedure to find GCD of 743, 438, 78, 726 on our page.

3. How to find GCD of 743, 438, 78, 726 on a calculator?

You can find the GCD of 743, 438, 78, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.