GCD of 949, 800, 852 Calculator

Given Input numbers are 949, 800, 852

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 949, 800, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 800, 852 is 1.

Therefore, GCD of numbers 949, 800, 852 is 1

Given Input Data is 949, 800, 852

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(949, 800) = 759200

GCD(949, 800) = ( 949 x 800 ) / 759200

GCD(949, 800) = 759200 / 759200

GCD(949, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 949, 800, 852 is 1

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1. What is the GCD of 949, 800, 852?

GCD of 949, 800, 852 is 1

2. Where do I get the detailed procedure to find GCD of 949, 800, 852?

You can find a detailed procedure to find GCD of 949, 800, 852 on our page.

3. How to find GCD of 949, 800, 852 on a calculator?

You can find the GCD of 949, 800, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.