GCD of 75, 391, 154, 268 Calculator

Given Input numbers are 75, 391, 154, 268

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 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 75, 391, 154, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 391, 154, 268 is 1.

Therefore, GCD of numbers 75, 391, 154, 268 is 1

Given Input Data is 75, 391, 154, 268

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 391 is 17 x 23

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 268 is 2 x 2 x 67

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, 391) = 29325

GCD(75, 391) = ( 75 x 391 ) / 29325

GCD(75, 391) = 29325 / 29325

GCD(75, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 75, 391, 154, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 319, 287, 395
• GCD of 69, 472, 718, 867
• GCD of 65, 822, 620, 348
• GCD of 20, 824, 531, 610
• GCD of 62, 713, 742, 501

1. What is the GCD of 75, 391, 154, 268?

GCD of 75, 391, 154, 268 is 1

2. Where do I get the detailed procedure to find GCD of 75, 391, 154, 268?

You can find a detailed procedure to find GCD of 75, 391, 154, 268 on our page.

3. How to find GCD of 75, 391, 154, 268 on a calculator?

You can find the GCD of 75, 391, 154, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.