GCD of 75, 786, 338, 918 Calculator

Given Input numbers are 75, 786, 338, 918

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 75, 786, 338, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 786, 338, 918 is 1.

Therefore, GCD of numbers 75, 786, 338, 918 is 1

Given Input Data is 75, 786, 338, 918

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(75, 786) = 19650

GCD(75, 786) = ( 75 x 786 ) / 19650

GCD(75, 786) = 58950 / 19650

GCD(75, 786) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 338

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

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

GCD(3, 338) = 1014 / 1014

GCD(3, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 75, 786, 338, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 128, 435, 961
• GCD of 29, 236, 571, 201
• GCD of 12, 962, 904, 887
• GCD of 95, 498, 207, 387
• GCD of 80, 434, 771, 687

1. What is the GCD of 75, 786, 338, 918?

GCD of 75, 786, 338, 918 is 1

2. Where do I get the detailed procedure to find GCD of 75, 786, 338, 918?

You can find a detailed procedure to find GCD of 75, 786, 338, 918 on our page.

3. How to find GCD of 75, 786, 338, 918 on a calculator?

You can find the GCD of 75, 786, 338, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.