GCD of 297, 417, 827, 758 Calculator

Given Input numbers are 297, 417, 827, 758

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 297, 417, 827, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 417, 827, 758 is 1.

Therefore, GCD of numbers 297, 417, 827, 758 is 1

Given Input Data is 297, 417, 827, 758

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 417 is 3 x 139

Prime Factorization of 827 is 827

Prime Factorization of 758 is 2 x 379

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(297, 417) = 41283

GCD(297, 417) = ( 297 x 417 ) / 41283

GCD(297, 417) = 123849 / 41283

GCD(297, 417) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 827

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

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

GCD(3, 827) = 2481 / 2481

GCD(3, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 297, 417, 827, 758 is 1

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1. What is the GCD of 297, 417, 827, 758?

GCD of 297, 417, 827, 758 is 1

2. Where do I get the detailed procedure to find GCD of 297, 417, 827, 758?

You can find a detailed procedure to find GCD of 297, 417, 827, 758 on our page.

3. How to find GCD of 297, 417, 827, 758 on a calculator?

You can find the GCD of 297, 417, 827, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.