GCD of 400, 986, 89, 630 Calculator

Given Input numbers are 400, 986, 89, 630

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 400, 986, 89, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 986, 89, 630 is 1.

Therefore, GCD of numbers 400, 986, 89, 630 is 1

Given Input Data is 400, 986, 89, 630

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 986 is 2 x 17 x 29

Prime Factorization of 89 is 89

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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, 986) = 197200

GCD(400, 986) = ( 400 x 986 ) / 197200

GCD(400, 986) = 394400 / 197200

GCD(400, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 400, 986, 89, 630 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 845, 88, 159
• GCD of 451, 852, 83, 256
• GCD of 410, 463, 29, 533
• GCD of 244, 405, 82, 502
• GCD of 962, 505, 67, 361

1. What is the GCD of 400, 986, 89, 630?

GCD of 400, 986, 89, 630 is 1

2. Where do I get the detailed procedure to find GCD of 400, 986, 89, 630?

You can find a detailed procedure to find GCD of 400, 986, 89, 630 on our page.

3. How to find GCD of 400, 986, 89, 630 on a calculator?

You can find the GCD of 400, 986, 89, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.