GCD of 400, 794, 65, 955 Calculator

Given Input numbers are 400, 794, 65, 955

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

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 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 400, 794, 65, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 794, 65, 955 is 1.

Therefore, GCD of numbers 400, 794, 65, 955 is 1

Given Input Data is 400, 794, 65, 955

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

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 65 is 5 x 13

Prime Factorization of 955 is 5 x 191

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(400, 794) = 158800

GCD(400, 794) = ( 400 x 794 ) / 158800

GCD(400, 794) = 317600 / 158800

GCD(400, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

GCD of 400, 794, 65, 955 is 1

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1. What is the GCD of 400, 794, 65, 955?

GCD of 400, 794, 65, 955 is 1

2. Where do I get the detailed procedure to find GCD of 400, 794, 65, 955?

You can find a detailed procedure to find GCD of 400, 794, 65, 955 on our page.

3. How to find GCD of 400, 794, 65, 955 on a calculator?

You can find the GCD of 400, 794, 65, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.