GCD of 75, 696, 178, 401 Calculator

Given Input numbers are 75, 696, 178, 401

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 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 75, 696, 178, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 696, 178, 401 is 1.

Therefore, GCD of numbers 75, 696, 178, 401 is 1

Given Input Data is 75, 696, 178, 401

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 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 178 is 2 x 89

Prime Factorization of 401 is 401

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, 696) = 17400

GCD(75, 696) = ( 75 x 696 ) / 17400

GCD(75, 696) = 52200 / 17400

GCD(75, 696) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 178

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

LCM(3, 178) = 534

GCD(3, 178) = ( 3 x 178 ) / 534

GCD(3, 178) = 534 / 534

GCD(3, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 75, 696, 178, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 898, 546, 314
• GCD of 19, 124, 171, 266
• GCD of 99, 925, 542, 123
• GCD of 10, 882, 493, 311
• GCD of 82, 403, 217, 973

1. What is the GCD of 75, 696, 178, 401?

GCD of 75, 696, 178, 401 is 1

2. Where do I get the detailed procedure to find GCD of 75, 696, 178, 401?

You can find a detailed procedure to find GCD of 75, 696, 178, 401 on our page.

3. How to find GCD of 75, 696, 178, 401 on a calculator?

You can find the GCD of 75, 696, 178, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.