GCD of 769, 255, 418, 198 Calculator

Given Input numbers are 769, 255, 418, 198

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 769, 255, 418, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 255, 418, 198 is 1.

Therefore, GCD of numbers 769, 255, 418, 198 is 1

Given Input Data is 769, 255, 418, 198

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

Prime Factorization of 769 is 769

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(769, 255) = 196095

GCD(769, 255) = ( 769 x 255 ) / 196095

GCD(769, 255) = 196095 / 196095

GCD(769, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 769, 255, 418, 198 is 1

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• GCD of 497, 628, 696, 174
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1. What is the GCD of 769, 255, 418, 198?

GCD of 769, 255, 418, 198 is 1

2. Where do I get the detailed procedure to find GCD of 769, 255, 418, 198?

You can find a detailed procedure to find GCD of 769, 255, 418, 198 on our page.

3. How to find GCD of 769, 255, 418, 198 on a calculator?

You can find the GCD of 769, 255, 418, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.