GCD of 378, 848, 890, 522 Calculator

Given Input numbers are 378, 848, 890, 522

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 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 378, 848, 890, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 848, 890, 522 is 2.

Therefore, GCD of numbers 378, 848, 890, 522 is 2

Given Input Data is 378, 848, 890, 522

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 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 522 is 2 x 3 x 3 x 29

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, 848) = 160272

GCD(378, 848) = ( 378 x 848 ) / 160272

GCD(378, 848) = 320544 / 160272

GCD(378, 848) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 522

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

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

GCD(2, 522) = 1044 / 522

GCD(2, 522) = 2

GCD of 378, 848, 890, 522 is 2

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1. What is the GCD of 378, 848, 890, 522?

GCD of 378, 848, 890, 522 is 2

2. Where do I get the detailed procedure to find GCD of 378, 848, 890, 522?

You can find a detailed procedure to find GCD of 378, 848, 890, 522 on our page.

3. How to find GCD of 378, 848, 890, 522 on a calculator?

You can find the GCD of 378, 848, 890, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.