GCD of 742, 731, 11, 109 Calculator

Given Input numbers are 742, 731, 11, 109

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 742, 731, 11, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 731, 11, 109 is 1.

Therefore, GCD of numbers 742, 731, 11, 109 is 1

Given Input Data is 742, 731, 11, 109

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 731 is 17 x 43

Prime Factorization of 11 is 11

Prime Factorization of 109 is 109

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(742, 731) = 542402

GCD(742, 731) = ( 742 x 731 ) / 542402

GCD(742, 731) = 542402 / 542402

GCD(742, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 742, 731, 11, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 348, 52, 457
• GCD of 514, 536, 25, 546
• GCD of 339, 429, 15, 109
• GCD of 173, 842, 29, 354
• GCD of 272, 125, 88, 311

1. What is the GCD of 742, 731, 11, 109?

GCD of 742, 731, 11, 109 is 1

2. Where do I get the detailed procedure to find GCD of 742, 731, 11, 109?

You can find a detailed procedure to find GCD of 742, 731, 11, 109 on our page.

3. How to find GCD of 742, 731, 11, 109 on a calculator?

You can find the GCD of 742, 731, 11, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.