GCD of 60, 275, 449, 450 Calculator

Given Input numbers are 60, 275, 449, 450

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

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

Greatest Common Divisior

We found the divisors of 60, 275, 449, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 275, 449, 450 is 1.

Therefore, GCD of numbers 60, 275, 449, 450 is 1

Given Input Data is 60, 275, 449, 450

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 449 is 449

Prime Factorization of 450 is 2 x 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(60, 275) = 3300

GCD(60, 275) = ( 60 x 275 ) / 3300

GCD(60, 275) = 16500 / 3300

GCD(60, 275) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 449

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

LCM(5, 449) = 2245

GCD(5, 449) = ( 5 x 449 ) / 2245

GCD(5, 449) = 2245 / 2245

GCD(5, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 60, 275, 449, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 354, 672, 830
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• GCD of 79, 112, 790, 880
• GCD of 48, 944, 661, 147

1. What is the GCD of 60, 275, 449, 450?

GCD of 60, 275, 449, 450 is 1

2. Where do I get the detailed procedure to find GCD of 60, 275, 449, 450?

You can find a detailed procedure to find GCD of 60, 275, 449, 450 on our page.

3. How to find GCD of 60, 275, 449, 450 on a calculator?

You can find the GCD of 60, 275, 449, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.