GCD of 49, 820, 882, 432 Calculator

Given Input numbers are 49, 820, 882, 432

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 49, 820, 882, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 820, 882, 432 is 1.

Therefore, GCD of numbers 49, 820, 882, 432 is 1

Given Input Data is 49, 820, 882, 432

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 820 is 2 x 2 x 5 x 41

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(49, 820) = 40180

GCD(49, 820) = ( 49 x 820 ) / 40180

GCD(49, 820) = 40180 / 40180

GCD(49, 820) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 49, 820, 882, 432 is 1

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1. What is the GCD of 49, 820, 882, 432?

GCD of 49, 820, 882, 432 is 1

2. Where do I get the detailed procedure to find GCD of 49, 820, 882, 432?

You can find a detailed procedure to find GCD of 49, 820, 882, 432 on our page.

3. How to find GCD of 49, 820, 882, 432 on a calculator?

You can find the GCD of 49, 820, 882, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.