GCD of 111, 130, 40, 738 Calculator

Given Input numbers are 111, 130, 40, 738

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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

Greatest Common Divisior

We found the divisors of 111, 130, 40, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 130, 40, 738 is 1.

Therefore, GCD of numbers 111, 130, 40, 738 is 1

Given Input Data is 111, 130, 40, 738

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

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(111, 130) = 14430

GCD(111, 130) = ( 111 x 130 ) / 14430

GCD(111, 130) = 14430 / 14430

GCD(111, 130) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 111, 130, 40, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 247, 59, 695
• GCD of 968, 662, 48, 611
• GCD of 787, 289, 13, 150
• GCD of 133, 380, 80, 243
• GCD of 614, 128, 44, 108

1. What is the GCD of 111, 130, 40, 738?

GCD of 111, 130, 40, 738 is 1

2. Where do I get the detailed procedure to find GCD of 111, 130, 40, 738?

You can find a detailed procedure to find GCD of 111, 130, 40, 738 on our page.

3. How to find GCD of 111, 130, 40, 738 on a calculator?

You can find the GCD of 111, 130, 40, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.