GCD of 63, 252, 354, 823 Calculator

Given Input numbers are 63, 252, 354, 823

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 63, 252, 354, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 252, 354, 823 is 1.

Therefore, GCD of numbers 63, 252, 354, 823 is 1

Given Input Data is 63, 252, 354, 823

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 823 is 823

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(63, 252) = 252

GCD(63, 252) = ( 63 x 252 ) / 252

GCD(63, 252) = 15876 / 252

GCD(63, 252) = 63

Step2:

Here we consider the GCD from the above i.e. 63 as first number and the next as 354

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

LCM(63, 354) = 7434

GCD(63, 354) = ( 63 x 354 ) / 7434

GCD(63, 354) = 22302 / 7434

GCD(63, 354) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 823

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

LCM(3, 823) = 2469

GCD(3, 823) = ( 3 x 823 ) / 2469

GCD(3, 823) = 2469 / 2469

GCD(3, 823) = 1

GCD of 63, 252, 354, 823 is 1

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• GCD of 51, 472, 615, 849
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1. What is the GCD of 63, 252, 354, 823?

GCD of 63, 252, 354, 823 is 1

2. Where do I get the detailed procedure to find GCD of 63, 252, 354, 823?

You can find a detailed procedure to find GCD of 63, 252, 354, 823 on our page.

3. How to find GCD of 63, 252, 354, 823 on a calculator?

You can find the GCD of 63, 252, 354, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.