GCD of 225, 686, 591, 749 Calculator

Given Input numbers are 225, 686, 591, 749

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 225, 686, 591, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 686, 591, 749 is 1.

Therefore, GCD of numbers 225, 686, 591, 749 is 1

Given Input Data is 225, 686, 591, 749

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 591 is 3 x 197

Prime Factorization of 749 is 7 x 107

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(225, 686) = 154350

GCD(225, 686) = ( 225 x 686 ) / 154350

GCD(225, 686) = 154350 / 154350

GCD(225, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 225, 686, 591, 749 is 1

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1. What is the GCD of 225, 686, 591, 749?

GCD of 225, 686, 591, 749 is 1

2. Where do I get the detailed procedure to find GCD of 225, 686, 591, 749?

You can find a detailed procedure to find GCD of 225, 686, 591, 749 on our page.

3. How to find GCD of 225, 686, 591, 749 on a calculator?

You can find the GCD of 225, 686, 591, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.