GCD of 400, 383, 989, 459 Calculator

Given Input numbers are 400, 383, 989, 459

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 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 400, 383, 989, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 383, 989, 459 is 1.

Therefore, GCD of numbers 400, 383, 989, 459 is 1

Given Input Data is 400, 383, 989, 459

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 383 is 383

Prime Factorization of 989 is 23 x 43

Prime Factorization of 459 is 3 x 3 x 3 x 17

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, 383) = 153200

GCD(400, 383) = ( 400 x 383 ) / 153200

GCD(400, 383) = 153200 / 153200

GCD(400, 383) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 400, 383, 989, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 767, 899, 857
• GCD of 196, 762, 977, 464
• GCD of 157, 901, 667, 115
• GCD of 661, 887, 975, 670
• GCD of 102, 248, 721, 875

1. What is the GCD of 400, 383, 989, 459?

GCD of 400, 383, 989, 459 is 1

2. Where do I get the detailed procedure to find GCD of 400, 383, 989, 459?

You can find a detailed procedure to find GCD of 400, 383, 989, 459 on our page.

3. How to find GCD of 400, 383, 989, 459 on a calculator?

You can find the GCD of 400, 383, 989, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.