GCD of 748, 285, 882, 182 Calculator

Given Input numbers are 748, 285, 882, 182

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 748, 285, 882, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 285, 882, 182 is 1.

Therefore, GCD of numbers 748, 285, 882, 182 is 1

Given Input Data is 748, 285, 882, 182

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 285 is 3 x 5 x 19

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

Prime Factorization of 182 is 2 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(748, 285) = 213180

GCD(748, 285) = ( 748 x 285 ) / 213180

GCD(748, 285) = 213180 / 213180

GCD(748, 285) = 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 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 748, 285, 882, 182 is 1

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1. What is the GCD of 748, 285, 882, 182?

GCD of 748, 285, 882, 182 is 1

2. Where do I get the detailed procedure to find GCD of 748, 285, 882, 182?

You can find a detailed procedure to find GCD of 748, 285, 882, 182 on our page.

3. How to find GCD of 748, 285, 882, 182 on a calculator?

You can find the GCD of 748, 285, 882, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.