GCD of 866, 132, 262, 392 Calculator

Given Input numbers are 866, 132, 262, 392

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

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 262

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

1, 2, 131, 262

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 866, 132, 262, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 132, 262, 392 is 2.

Therefore, GCD of numbers 866, 132, 262, 392 is 2

Given Input Data is 866, 132, 262, 392

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

Prime Factorization of 866 is 2 x 433

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 262 is 2 x 131

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(866, 132) = 57156

GCD(866, 132) = ( 866 x 132 ) / 57156

GCD(866, 132) = 114312 / 57156

GCD(866, 132) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 866, 132, 262, 392 is 2

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1. What is the GCD of 866, 132, 262, 392?

GCD of 866, 132, 262, 392 is 2

2. Where do I get the detailed procedure to find GCD of 866, 132, 262, 392?

You can find a detailed procedure to find GCD of 866, 132, 262, 392 on our page.

3. How to find GCD of 866, 132, 262, 392 on a calculator?

You can find the GCD of 866, 132, 262, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.