GCD of 298, 623, 710, 726 Calculator

Given Input numbers are 298, 623, 710, 726

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 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 710

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

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 298, 623, 710, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 623, 710, 726 is 1.

Therefore, GCD of numbers 298, 623, 710, 726 is 1

Given Input Data is 298, 623, 710, 726

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 623 is 7 x 89

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 726 is 2 x 3 x 11 x 11

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, 623) = 185654

GCD(298, 623) = ( 298 x 623 ) / 185654

GCD(298, 623) = 185654 / 185654

GCD(298, 623) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 298, 623, 710, 726 is 1

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1. What is the GCD of 298, 623, 710, 726?

GCD of 298, 623, 710, 726 is 1

2. Where do I get the detailed procedure to find GCD of 298, 623, 710, 726?

You can find a detailed procedure to find GCD of 298, 623, 710, 726 on our page.

3. How to find GCD of 298, 623, 710, 726 on a calculator?

You can find the GCD of 298, 623, 710, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.