GCD of 998, 686, 292, 662 Calculator

Given Input numbers are 998, 686, 292, 662

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 998, 686, 292, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 686, 292, 662 is 2.

Therefore, GCD of numbers 998, 686, 292, 662 is 2

Given Input Data is 998, 686, 292, 662

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 662 is 2 x 331

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(998, 686) = 342314

GCD(998, 686) = ( 998 x 686 ) / 342314

GCD(998, 686) = 684628 / 342314

GCD(998, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 662

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

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

GCD(2, 662) = 1324 / 662

GCD(2, 662) = 2

GCD of 998, 686, 292, 662 is 2

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1. What is the GCD of 998, 686, 292, 662?

GCD of 998, 686, 292, 662 is 2

2. Where do I get the detailed procedure to find GCD of 998, 686, 292, 662?

You can find a detailed procedure to find GCD of 998, 686, 292, 662 on our page.

3. How to find GCD of 998, 686, 292, 662 on a calculator?

You can find the GCD of 998, 686, 292, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.