GCD of 400, 992, 698, 491 Calculator

Given Input numbers are 400, 992, 698, 491

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 400, 992, 698, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 992, 698, 491 is 1.

Therefore, GCD of numbers 400, 992, 698, 491 is 1

Given Input Data is 400, 992, 698, 491

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 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 698 is 2 x 349

Prime Factorization of 491 is 491

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, 992) = 24800

GCD(400, 992) = ( 400 x 992 ) / 24800

GCD(400, 992) = 396800 / 24800

GCD(400, 992) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 698

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

LCM(16, 698) = 5584

GCD(16, 698) = ( 16 x 698 ) / 5584

GCD(16, 698) = 11168 / 5584

GCD(16, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 491

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

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

GCD(2, 491) = 982 / 982

GCD(2, 491) = 1

GCD of 400, 992, 698, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 795, 723, 653
• GCD of 491, 648, 334, 774
• GCD of 233, 570, 414, 472
• GCD of 482, 893, 944, 351
• GCD of 620, 496, 403, 905

1. What is the GCD of 400, 992, 698, 491?

GCD of 400, 992, 698, 491 is 1

2. Where do I get the detailed procedure to find GCD of 400, 992, 698, 491?

You can find a detailed procedure to find GCD of 400, 992, 698, 491 on our page.

3. How to find GCD of 400, 992, 698, 491 on a calculator?

You can find the GCD of 400, 992, 698, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.