GCD of 176, 348, 993, 852 Calculator

Given Input numbers are 176, 348, 993, 852

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 176, 348, 993, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 348, 993, 852 is 1.

Therefore, GCD of numbers 176, 348, 993, 852 is 1

Given Input Data is 176, 348, 993, 852

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 993 is 3 x 331

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(176, 348) = 15312

GCD(176, 348) = ( 176 x 348 ) / 15312

GCD(176, 348) = 61248 / 15312

GCD(176, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 993

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

LCM(4, 993) = 3972

GCD(4, 993) = ( 4 x 993 ) / 3972

GCD(4, 993) = 3972 / 3972

GCD(4, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 176, 348, 993, 852 is 1

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1. What is the GCD of 176, 348, 993, 852?

GCD of 176, 348, 993, 852 is 1

2. Where do I get the detailed procedure to find GCD of 176, 348, 993, 852?

You can find a detailed procedure to find GCD of 176, 348, 993, 852 on our page.

3. How to find GCD of 176, 348, 993, 852 on a calculator?

You can find the GCD of 176, 348, 993, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.