GCD of 400, 828, 98, 899 Calculator

Given Input numbers are 400, 828, 98, 899

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 400, 828, 98, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 828, 98, 899 is 1.

Therefore, GCD of numbers 400, 828, 98, 899 is 1

Given Input Data is 400, 828, 98, 899

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 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 899 is 29 x 31

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(400, 828) = 82800

GCD(400, 828) = ( 400 x 828 ) / 82800

GCD(400, 828) = 331200 / 82800

GCD(400, 828) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 98

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

LCM(4, 98) = 196

GCD(4, 98) = ( 4 x 98 ) / 196

GCD(4, 98) = 392 / 196

GCD(4, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

GCD of 400, 828, 98, 899 is 1

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1. What is the GCD of 400, 828, 98, 899?

GCD of 400, 828, 98, 899 is 1

2. Where do I get the detailed procedure to find GCD of 400, 828, 98, 899?

You can find a detailed procedure to find GCD of 400, 828, 98, 899 on our page.

3. How to find GCD of 400, 828, 98, 899 on a calculator?

You can find the GCD of 400, 828, 98, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.