GCD of 472, 402, 563, 882 Calculator

Given Input numbers are 472, 402, 563, 882

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 472, 402, 563, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 402, 563, 882 is 1.

Therefore, GCD of numbers 472, 402, 563, 882 is 1

Given Input Data is 472, 402, 563, 882

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 563 is 563

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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(472, 402) = 94872

GCD(472, 402) = ( 472 x 402 ) / 94872

GCD(472, 402) = 189744 / 94872

GCD(472, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 472, 402, 563, 882 is 1

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1. What is the GCD of 472, 402, 563, 882?

GCD of 472, 402, 563, 882 is 1

2. Where do I get the detailed procedure to find GCD of 472, 402, 563, 882?

You can find a detailed procedure to find GCD of 472, 402, 563, 882 on our page.

3. How to find GCD of 472, 402, 563, 882 on a calculator?

You can find the GCD of 472, 402, 563, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.