GCD of 400, 945, 835 Calculator

Given Input numbers are 400, 945, 835

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 400, 945, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 945, 835 is 5.

Therefore, GCD of numbers 400, 945, 835 is 5

Given Input Data is 400, 945, 835

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 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 835 is 5 x 167

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 945) = 75600

GCD(400, 945) = ( 400 x 945 ) / 75600

GCD(400, 945) = 378000 / 75600

GCD(400, 945) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 835

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

LCM(5, 835) = 835

GCD(5, 835) = ( 5 x 835 ) / 835

GCD(5, 835) = 4175 / 835

GCD(5, 835) = 5

GCD of 400, 945, 835 is 5

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1. What is the GCD of 400, 945, 835?

GCD of 400, 945, 835 is 5

2. Where do I get the detailed procedure to find GCD of 400, 945, 835?

You can find a detailed procedure to find GCD of 400, 945, 835 on our page.

3. How to find GCD of 400, 945, 835 on a calculator?

You can find the GCD of 400, 945, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.