GCD of 504, 454, 66, 455 Calculator

Given Input numbers are 504, 454, 66, 455

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 504, 454, 66, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 454, 66, 455 is 1.

Therefore, GCD of numbers 504, 454, 66, 455 is 1

Given Input Data is 504, 454, 66, 455

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 454 is 2 x 227

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 455 is 5 x 7 x 13

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(504, 454) = 114408

GCD(504, 454) = ( 504 x 454 ) / 114408

GCD(504, 454) = 228816 / 114408

GCD(504, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 455

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

LCM(2, 455) = 910

GCD(2, 455) = ( 2 x 455 ) / 910

GCD(2, 455) = 910 / 910

GCD(2, 455) = 1

GCD of 504, 454, 66, 455 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 611, 83, 160
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• GCD of 445, 638, 57, 879
• GCD of 108, 702, 50, 578
• GCD of 147, 534, 49, 584

1. What is the GCD of 504, 454, 66, 455?

GCD of 504, 454, 66, 455 is 1

2. Where do I get the detailed procedure to find GCD of 504, 454, 66, 455?

You can find a detailed procedure to find GCD of 504, 454, 66, 455 on our page.

3. How to find GCD of 504, 454, 66, 455 on a calculator?

You can find the GCD of 504, 454, 66, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.