GCD of 992, 404, 690, 414 Calculator

Given Input numbers are 992, 404, 690, 414

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

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 992, 404, 690, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 404, 690, 414 is 2.

Therefore, GCD of numbers 992, 404, 690, 414 is 2

Given Input Data is 992, 404, 690, 414

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 414 is 2 x 3 x 3 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(992, 404) = 100192

GCD(992, 404) = ( 992 x 404 ) / 100192

GCD(992, 404) = 400768 / 100192

GCD(992, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 690

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

LCM(4, 690) = 1380

GCD(4, 690) = ( 4 x 690 ) / 1380

GCD(4, 690) = 2760 / 1380

GCD(4, 690) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 414

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

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

GCD(2, 414) = 828 / 414

GCD(2, 414) = 2

GCD of 992, 404, 690, 414 is 2

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1. What is the GCD of 992, 404, 690, 414?

GCD of 992, 404, 690, 414 is 2

2. Where do I get the detailed procedure to find GCD of 992, 404, 690, 414?

You can find a detailed procedure to find GCD of 992, 404, 690, 414 on our page.

3. How to find GCD of 992, 404, 690, 414 on a calculator?

You can find the GCD of 992, 404, 690, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.