GCD of 698, 992, 47 Calculator

Given Input numbers are 698, 992, 47

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

Divisors of 698

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

1, 2, 349, 698

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 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Greatest Common Divisior

We found the divisors of 698, 992, 47 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 992, 47 is 1.

Therefore, GCD of numbers 698, 992, 47 is 1

Given Input Data is 698, 992, 47

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

Prime Factorization of 698 is 2 x 349

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

Prime Factorization of 47 is 47

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(698, 992) = 346208

GCD(698, 992) = ( 698 x 992 ) / 346208

GCD(698, 992) = 692416 / 346208

GCD(698, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

GCD of 698, 992, 47 is 1

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1. What is the GCD of 698, 992, 47?

GCD of 698, 992, 47 is 1

2. Where do I get the detailed procedure to find GCD of 698, 992, 47?

You can find a detailed procedure to find GCD of 698, 992, 47 on our page.

3. How to find GCD of 698, 992, 47 on a calculator?

You can find the GCD of 698, 992, 47 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.