GCD of 270, 274, 553, 825 Calculator

Given Input numbers are 270, 274, 553, 825

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 274

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

1, 2, 137, 274

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 270, 274, 553, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 274, 553, 825 is 1.

Therefore, GCD of numbers 270, 274, 553, 825 is 1

Given Input Data is 270, 274, 553, 825

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 274 is 2 x 137

Prime Factorization of 553 is 7 x 79

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(270, 274) = 36990

GCD(270, 274) = ( 270 x 274 ) / 36990

GCD(270, 274) = 73980 / 36990

GCD(270, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 270, 274, 553, 825 is 1

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1. What is the GCD of 270, 274, 553, 825?

GCD of 270, 274, 553, 825 is 1

2. Where do I get the detailed procedure to find GCD of 270, 274, 553, 825?

You can find a detailed procedure to find GCD of 270, 274, 553, 825 on our page.

3. How to find GCD of 270, 274, 553, 825 on a calculator?

You can find the GCD of 270, 274, 553, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.