GCD of 882, 526, 183, 147 Calculator

Given Input numbers are 882, 526, 183, 147

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

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 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 882, 526, 183, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 526, 183, 147 is 1.

Therefore, GCD of numbers 882, 526, 183, 147 is 1

Given Input Data is 882, 526, 183, 147

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

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 183 is 3 x 61

Prime Factorization of 147 is 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(882, 526) = 231966

GCD(882, 526) = ( 882 x 526 ) / 231966

GCD(882, 526) = 463932 / 231966

GCD(882, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 183

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

LCM(2, 183) = 366

GCD(2, 183) = ( 2 x 183 ) / 366

GCD(2, 183) = 366 / 366

GCD(2, 183) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 882, 526, 183, 147 is 1

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1. What is the GCD of 882, 526, 183, 147?

GCD of 882, 526, 183, 147 is 1

2. Where do I get the detailed procedure to find GCD of 882, 526, 183, 147?

You can find a detailed procedure to find GCD of 882, 526, 183, 147 on our page.

3. How to find GCD of 882, 526, 183, 147 on a calculator?

You can find the GCD of 882, 526, 183, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.