GCD of 368, 776, 898, 852 Calculator

Given Input numbers are 368, 776, 898, 852

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

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 368, 776, 898, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 776, 898, 852 is 2.

Therefore, GCD of numbers 368, 776, 898, 852 is 2

Given Input Data is 368, 776, 898, 852

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 898 is 2 x 449

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(368, 776) = 35696

GCD(368, 776) = ( 368 x 776 ) / 35696

GCD(368, 776) = 285568 / 35696

GCD(368, 776) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 898

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

LCM(8, 898) = 3592

GCD(8, 898) = ( 8 x 898 ) / 3592

GCD(8, 898) = 7184 / 3592

GCD(8, 898) = 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 368, 776, 898, 852 is 2

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1. What is the GCD of 368, 776, 898, 852?

GCD of 368, 776, 898, 852 is 2

2. Where do I get the detailed procedure to find GCD of 368, 776, 898, 852?

You can find a detailed procedure to find GCD of 368, 776, 898, 852 on our page.

3. How to find GCD of 368, 776, 898, 852 on a calculator?

You can find the GCD of 368, 776, 898, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.