GCD of 650, 900, 835 Calculator

Given Input numbers are 650, 900, 835

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 650, 900, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 900, 835 is 5.

Therefore, GCD of numbers 650, 900, 835 is 5

Given Input Data is 650, 900, 835

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(650, 900) = 11700

GCD(650, 900) = ( 650 x 900 ) / 11700

GCD(650, 900) = 585000 / 11700

GCD(650, 900) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 835

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

LCM(50, 835) = 8350

GCD(50, 835) = ( 50 x 835 ) / 8350

GCD(50, 835) = 41750 / 8350

GCD(50, 835) = 5

GCD of 650, 900, 835 is 5

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1. What is the GCD of 650, 900, 835?

GCD of 650, 900, 835 is 5

2. Where do I get the detailed procedure to find GCD of 650, 900, 835?

You can find a detailed procedure to find GCD of 650, 900, 835 on our page.

3. How to find GCD of 650, 900, 835 on a calculator?

You can find the GCD of 650, 900, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.