GCD of 894, 782, 52, 262 Calculator

Given Input numbers are 894, 782, 52, 262

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 894, 782, 52, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 782, 52, 262 is 2.

Therefore, GCD of numbers 894, 782, 52, 262 is 2

Given Input Data is 894, 782, 52, 262

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 262 is 2 x 131

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(894, 782) = 349554

GCD(894, 782) = ( 894 x 782 ) / 349554

GCD(894, 782) = 699108 / 349554

GCD(894, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2

GCD of 894, 782, 52, 262 is 2

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1. What is the GCD of 894, 782, 52, 262?

GCD of 894, 782, 52, 262 is 2

2. Where do I get the detailed procedure to find GCD of 894, 782, 52, 262?

You can find a detailed procedure to find GCD of 894, 782, 52, 262 on our page.

3. How to find GCD of 894, 782, 52, 262 on a calculator?

You can find the GCD of 894, 782, 52, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.