GCD of 298, 658, 75, 571 Calculator

Given Input numbers are 298, 658, 75, 571

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 298, 658, 75, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 658, 75, 571 is 1.

Therefore, GCD of numbers 298, 658, 75, 571 is 1

Given Input Data is 298, 658, 75, 571

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 571 is 571

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(298, 658) = 98042

GCD(298, 658) = ( 298 x 658 ) / 98042

GCD(298, 658) = 196084 / 98042

GCD(298, 658) = 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 571

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

LCM(1, 571) = 571

GCD(1, 571) = ( 1 x 571 ) / 571

GCD(1, 571) = 571 / 571

GCD(1, 571) = 1

GCD of 298, 658, 75, 571 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 389, 61, 627
• GCD of 209, 310, 47, 130
• GCD of 751, 354, 23, 223
• GCD of 669, 180, 41, 274
• GCD of 184, 894, 55, 156

1. What is the GCD of 298, 658, 75, 571?

GCD of 298, 658, 75, 571 is 1

2. Where do I get the detailed procedure to find GCD of 298, 658, 75, 571?

You can find a detailed procedure to find GCD of 298, 658, 75, 571 on our page.

3. How to find GCD of 298, 658, 75, 571 on a calculator?

You can find the GCD of 298, 658, 75, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.