GCD of 698, 263, 47, 492 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 698, 263, 47, 492 i.e. 1 largest integer that divides all the numbers equally.

GCD of 698, 263, 47, 492 is 1

GCD(698, 263, 47, 492) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 698, 263, 47, 492 is 1

GCD(698, 263, 47, 492) = 1

GCD of 698,263,47,492 Calculator

GCDof 698,263,47,492 is 1

Given Input numbers are 698, 263, 47, 492

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 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 47

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

1, 47

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 698, 263, 47, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 263, 47, 492 is 1.

Therefore, GCD of numbers 698, 263, 47, 492 is 1

Finding GCD of 698, 263, 47, 492 using Prime Factorization

Given Input Data is 698, 263, 47, 492

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 263 is 263

Prime Factorization of 47 is 47

Prime Factorization of 492 is 2 x 2 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 698, 263, 47, 492 using LCM Formula

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, 263) = 183574

GCD(698, 263) = ( 698 x 263 ) / 183574

GCD(698, 263) = 183574 / 183574

GCD(698, 263) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 698, 263, 47, 492 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 698, 263, 47, 492

1. What is the GCD of 698, 263, 47, 492?

GCD of 698, 263, 47, 492 is 1


2. Where do I get the detailed procedure to find GCD of 698, 263, 47, 492?

You can find a detailed procedure to find GCD of 698, 263, 47, 492 on our page.


3. How to find GCD of 698, 263, 47, 492 on a calculator?

You can find the GCD of 698, 263, 47, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.