GCD of 743, 274, 499, 225 Calculator

Given Input numbers are 743, 274, 499, 225

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

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

Greatest Common Divisior

We found the divisors of 743, 274, 499, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 274, 499, 225 is 1.

Therefore, GCD of numbers 743, 274, 499, 225 is 1

Given Input Data is 743, 274, 499, 225

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

Prime Factorization of 743 is 743

Prime Factorization of 274 is 2 x 137

Prime Factorization of 499 is 499

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

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(743, 274) = 203582

GCD(743, 274) = ( 743 x 274 ) / 203582

GCD(743, 274) = 203582 / 203582

GCD(743, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

Step3:

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

GCD of 743, 274, 499, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 329, 883, 712
• GCD of 869, 937, 416, 983
• GCD of 322, 490, 647, 825
• GCD of 128, 119, 769, 301
• GCD of 498, 816, 592, 307

1. What is the GCD of 743, 274, 499, 225?

GCD of 743, 274, 499, 225 is 1

2. Where do I get the detailed procedure to find GCD of 743, 274, 499, 225?

You can find a detailed procedure to find GCD of 743, 274, 499, 225 on our page.

3. How to find GCD of 743, 274, 499, 225 on a calculator?

You can find the GCD of 743, 274, 499, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.