GCD of 698, 843, 416, 133 Calculator

Given Input numbers are 698, 843, 416, 133

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 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 698, 843, 416, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 843, 416, 133 is 1.

Therefore, GCD of numbers 698, 843, 416, 133 is 1

Given Input Data is 698, 843, 416, 133

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 843 is 3 x 281

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 133 is 7 x 19

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, 843) = 588414

GCD(698, 843) = ( 698 x 843 ) / 588414

GCD(698, 843) = 588414 / 588414

GCD(698, 843) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 698, 843, 416, 133 is 1

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1. What is the GCD of 698, 843, 416, 133?

GCD of 698, 843, 416, 133 is 1

2. Where do I get the detailed procedure to find GCD of 698, 843, 416, 133?

You can find a detailed procedure to find GCD of 698, 843, 416, 133 on our page.

3. How to find GCD of 698, 843, 416, 133 on a calculator?

You can find the GCD of 698, 843, 416, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.