GCD of 76, 675, 225, 497 Calculator

Given Input numbers are 76, 675, 225, 497

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 497

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

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 76, 675, 225, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 675, 225, 497 is 1.

Therefore, GCD of numbers 76, 675, 225, 497 is 1

Given Input Data is 76, 675, 225, 497

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

Prime Factorization of 497 is 7 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(76, 675) = 51300

GCD(76, 675) = ( 76 x 675 ) / 51300

GCD(76, 675) = 51300 / 51300

GCD(76, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 76, 675, 225, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 941, 768, 878
• GCD of 42, 407, 147, 970
• GCD of 16, 229, 181, 787
• GCD of 31, 833, 663, 241
• GCD of 50, 912, 192, 773

1. What is the GCD of 76, 675, 225, 497?

GCD of 76, 675, 225, 497 is 1

2. Where do I get the detailed procedure to find GCD of 76, 675, 225, 497?

You can find a detailed procedure to find GCD of 76, 675, 225, 497 on our page.

3. How to find GCD of 76, 675, 225, 497 on a calculator?

You can find the GCD of 76, 675, 225, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.