GCD of 378, 118, 886, 852 Calculator

Given Input numbers are 378, 118, 886, 852

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

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 378, 118, 886, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 118, 886, 852 is 2.

Therefore, GCD of numbers 378, 118, 886, 852 is 2

Given Input Data is 378, 118, 886, 852

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 118 is 2 x 59

Prime Factorization of 886 is 2 x 443

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(378, 118) = 22302

GCD(378, 118) = ( 378 x 118 ) / 22302

GCD(378, 118) = 44604 / 22302

GCD(378, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

GCD of 378, 118, 886, 852 is 2

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1. What is the GCD of 378, 118, 886, 852?

GCD of 378, 118, 886, 852 is 2

2. Where do I get the detailed procedure to find GCD of 378, 118, 886, 852?

You can find a detailed procedure to find GCD of 378, 118, 886, 852 on our page.

3. How to find GCD of 378, 118, 886, 852 on a calculator?

You can find the GCD of 378, 118, 886, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.