GCD of 851, 400, 649 Calculator

Given Input numbers are 851, 400, 649

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 851, 400, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 400, 649 is 1.

Therefore, GCD of numbers 851, 400, 649 is 1

Given Input Data is 851, 400, 649

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

Prime Factorization of 851 is 23 x 37

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

Prime Factorization of 649 is 11 x 59

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(851, 400) = 340400

GCD(851, 400) = ( 851 x 400 ) / 340400

GCD(851, 400) = 340400 / 340400

GCD(851, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 851, 400, 649 is 1

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1. What is the GCD of 851, 400, 649?

GCD of 851, 400, 649 is 1

2. Where do I get the detailed procedure to find GCD of 851, 400, 649?

You can find a detailed procedure to find GCD of 851, 400, 649 on our page.

3. How to find GCD of 851, 400, 649 on a calculator?

You can find the GCD of 851, 400, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.