GCD of 698, 222, 75, 698 Calculator

Given Input numbers are 698, 222, 75, 698

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 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 698

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

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 698, 222, 75, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 222, 75, 698 is 1.

Therefore, GCD of numbers 698, 222, 75, 698 is 1

Given Input Data is 698, 222, 75, 698

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 698 is 2 x 349

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, 222) = 77478

GCD(698, 222) = ( 698 x 222 ) / 77478

GCD(698, 222) = 154956 / 77478

GCD(698, 222) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 698, 222, 75, 698 is 1

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1. What is the GCD of 698, 222, 75, 698?

GCD of 698, 222, 75, 698 is 1

2. Where do I get the detailed procedure to find GCD of 698, 222, 75, 698?

You can find a detailed procedure to find GCD of 698, 222, 75, 698 on our page.

3. How to find GCD of 698, 222, 75, 698 on a calculator?

You can find the GCD of 698, 222, 75, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.