GCD of 104, 400, 293, 695 Calculator

Given Input numbers are 104, 400, 293, 695

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 104, 400, 293, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 400, 293, 695 is 1.

Therefore, GCD of numbers 104, 400, 293, 695 is 1

Given Input Data is 104, 400, 293, 695

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 293 is 293

Prime Factorization of 695 is 5 x 139

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(104, 400) = 5200

GCD(104, 400) = ( 104 x 400 ) / 5200

GCD(104, 400) = 41600 / 5200

GCD(104, 400) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 293

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

LCM(8, 293) = 2344

GCD(8, 293) = ( 8 x 293 ) / 2344

GCD(8, 293) = 2344 / 2344

GCD(8, 293) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 104, 400, 293, 695 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 154, 147, 957
• GCD of 956, 939, 359, 202
• GCD of 456, 993, 166, 853
• GCD of 684, 835, 378, 567
• GCD of 105, 416, 294, 722

1. What is the GCD of 104, 400, 293, 695?

GCD of 104, 400, 293, 695 is 1

2. Where do I get the detailed procedure to find GCD of 104, 400, 293, 695?

You can find a detailed procedure to find GCD of 104, 400, 293, 695 on our page.

3. How to find GCD of 104, 400, 293, 695 on a calculator?

You can find the GCD of 104, 400, 293, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.