GCD of 299, 295, 61, 710 Calculator

Given Input numbers are 299, 295, 61, 710

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 299, 295, 61, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 295, 61, 710 is 1.

Therefore, GCD of numbers 299, 295, 61, 710 is 1

Given Input Data is 299, 295, 61, 710

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 295 is 5 x 59

Prime Factorization of 61 is 61

Prime Factorization of 710 is 2 x 5 x 71

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(299, 295) = 88205

GCD(299, 295) = ( 299 x 295 ) / 88205

GCD(299, 295) = 88205 / 88205

GCD(299, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

GCD of 299, 295, 61, 710 is 1

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1. What is the GCD of 299, 295, 61, 710?

GCD of 299, 295, 61, 710 is 1

2. Where do I get the detailed procedure to find GCD of 299, 295, 61, 710?

You can find a detailed procedure to find GCD of 299, 295, 61, 710 on our page.

3. How to find GCD of 299, 295, 61, 710 on a calculator?

You can find the GCD of 299, 295, 61, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.