GCD of 450, 565, 241, 577 Calculator

Given Input numbers are 450, 565, 241, 577

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 450, 565, 241, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 565, 241, 577 is 1.

Therefore, GCD of numbers 450, 565, 241, 577 is 1

Given Input Data is 450, 565, 241, 577

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 565 is 5 x 113

Prime Factorization of 241 is 241

Prime Factorization of 577 is 577

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(450, 565) = 50850

GCD(450, 565) = ( 450 x 565 ) / 50850

GCD(450, 565) = 254250 / 50850

GCD(450, 565) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 241

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

LCM(5, 241) = 1205

GCD(5, 241) = ( 5 x 241 ) / 1205

GCD(5, 241) = 1205 / 1205

GCD(5, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 450, 565, 241, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 256, 624, 755
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• GCD of 296, 696, 633, 130
• GCD of 978, 525, 409, 290

1. What is the GCD of 450, 565, 241, 577?

GCD of 450, 565, 241, 577 is 1

2. Where do I get the detailed procedure to find GCD of 450, 565, 241, 577?

You can find a detailed procedure to find GCD of 450, 565, 241, 577 on our page.

3. How to find GCD of 450, 565, 241, 577 on a calculator?

You can find the GCD of 450, 565, 241, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.