GCD of 747, 436, 18, 109 Calculator

Given Input numbers are 747, 436, 18, 109

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 747, 436, 18, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 436, 18, 109 is 1.

Therefore, GCD of numbers 747, 436, 18, 109 is 1

Given Input Data is 747, 436, 18, 109

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 18 is 2 x 3 x 3

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(747, 436) = 325692

GCD(747, 436) = ( 747 x 436 ) / 325692

GCD(747, 436) = 325692 / 325692

GCD(747, 436) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 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 747, 436, 18, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 901, 29, 145
• GCD of 564, 960, 14, 264
• GCD of 439, 925, 82, 962
• GCD of 532, 275, 53, 814
• GCD of 182, 910, 18, 733

1. What is the GCD of 747, 436, 18, 109?

GCD of 747, 436, 18, 109 is 1

2. Where do I get the detailed procedure to find GCD of 747, 436, 18, 109?

You can find a detailed procedure to find GCD of 747, 436, 18, 109 on our page.

3. How to find GCD of 747, 436, 18, 109 on a calculator?

You can find the GCD of 747, 436, 18, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.