GCD of 523, 224, 66, 637 Calculator

Given Input numbers are 523, 224, 66, 637

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 523, 224, 66, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 224, 66, 637 is 1.

Therefore, GCD of numbers 523, 224, 66, 637 is 1

Given Input Data is 523, 224, 66, 637

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

Prime Factorization of 523 is 523

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 637 is 7 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(523, 224) = 117152

GCD(523, 224) = ( 523 x 224 ) / 117152

GCD(523, 224) = 117152 / 117152

GCD(523, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

GCD of 523, 224, 66, 637 is 1

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• GCD of 163, 284, 85, 873
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1. What is the GCD of 523, 224, 66, 637?

GCD of 523, 224, 66, 637 is 1

2. Where do I get the detailed procedure to find GCD of 523, 224, 66, 637?

You can find a detailed procedure to find GCD of 523, 224, 66, 637 on our page.

3. How to find GCD of 523, 224, 66, 637 on a calculator?

You can find the GCD of 523, 224, 66, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.