GCD of 497, 648, 59, 791 Calculator

Given Input numbers are 497, 648, 59, 791

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 497, 648, 59, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 648, 59, 791 is 1.

Therefore, GCD of numbers 497, 648, 59, 791 is 1

Given Input Data is 497, 648, 59, 791

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 59 is 59

Prime Factorization of 791 is 7 x 113

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(497, 648) = 322056

GCD(497, 648) = ( 497 x 648 ) / 322056

GCD(497, 648) = 322056 / 322056

GCD(497, 648) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 497, 648, 59, 791 is 1

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1. What is the GCD of 497, 648, 59, 791?

GCD of 497, 648, 59, 791 is 1

2. Where do I get the detailed procedure to find GCD of 497, 648, 59, 791?

You can find a detailed procedure to find GCD of 497, 648, 59, 791 on our page.

3. How to find GCD of 497, 648, 59, 791 on a calculator?

You can find the GCD of 497, 648, 59, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.