GCD of 698, 184, 763, 108 Calculator

Given Input numbers are 698, 184, 763, 108

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 698, 184, 763, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 184, 763, 108 is 1.

Therefore, GCD of numbers 698, 184, 763, 108 is 1

Given Input Data is 698, 184, 763, 108

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 763 is 7 x 109

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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, 184) = 64216

GCD(698, 184) = ( 698 x 184 ) / 64216

GCD(698, 184) = 128432 / 64216

GCD(698, 184) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 763

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

LCM(2, 763) = 1526

GCD(2, 763) = ( 2 x 763 ) / 1526

GCD(2, 763) = 1526 / 1526

GCD(2, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 698, 184, 763, 108 is 1

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1. What is the GCD of 698, 184, 763, 108?

GCD of 698, 184, 763, 108 is 1

2. Where do I get the detailed procedure to find GCD of 698, 184, 763, 108?

You can find a detailed procedure to find GCD of 698, 184, 763, 108 on our page.

3. How to find GCD of 698, 184, 763, 108 on a calculator?

You can find the GCD of 698, 184, 763, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.