GCD of 416, 400, 959 Calculator

Given Input numbers are 416, 400, 959

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 416, 400, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 400, 959 is 1.

Therefore, GCD of numbers 416, 400, 959 is 1

Given Input Data is 416, 400, 959

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

Prime Factorization of 416 is 2 x 2 x 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 959 is 7 x 137

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(416, 400) = 10400

GCD(416, 400) = ( 416 x 400 ) / 10400

GCD(416, 400) = 166400 / 10400

GCD(416, 400) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 959

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

LCM(16, 959) = 15344

GCD(16, 959) = ( 16 x 959 ) / 15344

GCD(16, 959) = 15344 / 15344

GCD(16, 959) = 1

GCD of 416, 400, 959 is 1

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• GCD of 211, 106, 566
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1. What is the GCD of 416, 400, 959?

GCD of 416, 400, 959 is 1

2. Where do I get the detailed procedure to find GCD of 416, 400, 959?

You can find a detailed procedure to find GCD of 416, 400, 959 on our page.

3. How to find GCD of 416, 400, 959 on a calculator?

You can find the GCD of 416, 400, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.