GCD of 575, 605, 969, 298 Calculator

Given Input numbers are 575, 605, 969, 298

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 298

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

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 575, 605, 969, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 605, 969, 298 is 1.

Therefore, GCD of numbers 575, 605, 969, 298 is 1

Given Input Data is 575, 605, 969, 298

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

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 298 is 2 x 149

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(575, 605) = 69575

GCD(575, 605) = ( 575 x 605 ) / 69575

GCD(575, 605) = 347875 / 69575

GCD(575, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 969

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

LCM(5, 969) = 4845

GCD(5, 969) = ( 5 x 969 ) / 4845

GCD(5, 969) = 4845 / 4845

GCD(5, 969) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 575, 605, 969, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 568, 899, 667
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• GCD of 716, 892, 553, 722

1. What is the GCD of 575, 605, 969, 298?

GCD of 575, 605, 969, 298 is 1

2. Where do I get the detailed procedure to find GCD of 575, 605, 969, 298?

You can find a detailed procedure to find GCD of 575, 605, 969, 298 on our page.

3. How to find GCD of 575, 605, 969, 298 on a calculator?

You can find the GCD of 575, 605, 969, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.