GCD of 648, 465, 43, 403 Calculator

Given Input numbers are 648, 465, 43, 403

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

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 648, 465, 43, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 465, 43, 403 is 1.

Therefore, GCD of numbers 648, 465, 43, 403 is 1

Given Input Data is 648, 465, 43, 403

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

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 43 is 43

Prime Factorization of 403 is 13 x 31

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(648, 465) = 100440

GCD(648, 465) = ( 648 x 465 ) / 100440

GCD(648, 465) = 301320 / 100440

GCD(648, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 43

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

LCM(3, 43) = 129

GCD(3, 43) = ( 3 x 43 ) / 129

GCD(3, 43) = 129 / 129

GCD(3, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

GCD of 648, 465, 43, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 973, 49, 300
• GCD of 471, 957, 69, 461
• GCD of 138, 644, 28, 521
• GCD of 316, 325, 14, 394
• GCD of 264, 153, 10, 131

1. What is the GCD of 648, 465, 43, 403?

GCD of 648, 465, 43, 403 is 1

2. Where do I get the detailed procedure to find GCD of 648, 465, 43, 403?

You can find a detailed procedure to find GCD of 648, 465, 43, 403 on our page.

3. How to find GCD of 648, 465, 43, 403 on a calculator?

You can find the GCD of 648, 465, 43, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.