GCD of 575, 299, 67, 648 Calculator

Given Input numbers are 575, 299, 67, 648

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 575, 299, 67, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 299, 67, 648 is 1.

Therefore, GCD of numbers 575, 299, 67, 648 is 1

Given Input Data is 575, 299, 67, 648

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

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 299 is 13 x 23

Prime Factorization of 67 is 67

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(575, 299) = 7475

GCD(575, 299) = ( 575 x 299 ) / 7475

GCD(575, 299) = 171925 / 7475

GCD(575, 299) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 67

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

LCM(23, 67) = 1541

GCD(23, 67) = ( 23 x 67 ) / 1541

GCD(23, 67) = 1541 / 1541

GCD(23, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 575, 299, 67, 648 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 787, 23, 215
• GCD of 120, 442, 71, 972
• GCD of 445, 547, 99, 957
• GCD of 299, 879, 89, 381
• GCD of 156, 311, 82, 853

1. What is the GCD of 575, 299, 67, 648?

GCD of 575, 299, 67, 648 is 1

2. Where do I get the detailed procedure to find GCD of 575, 299, 67, 648?

You can find a detailed procedure to find GCD of 575, 299, 67, 648 on our page.

3. How to find GCD of 575, 299, 67, 648 on a calculator?

You can find the GCD of 575, 299, 67, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.