GCD of 178, 945, 882 Calculator

Given Input numbers are 178, 945, 882

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 178, 945, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 945, 882 is 1.

Therefore, GCD of numbers 178, 945, 882 is 1

Given Input Data is 178, 945, 882

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(178, 945) = 168210

GCD(178, 945) = ( 178 x 945 ) / 168210

GCD(178, 945) = 168210 / 168210

GCD(178, 945) = 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

GCD of 178, 945, 882 is 1

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1. What is the GCD of 178, 945, 882?

GCD of 178, 945, 882 is 1

2. Where do I get the detailed procedure to find GCD of 178, 945, 882?

You can find a detailed procedure to find GCD of 178, 945, 882 on our page.

3. How to find GCD of 178, 945, 882 on a calculator?

You can find the GCD of 178, 945, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.