GCD of 266, 236, 132, 846 Calculator

Given Input numbers are 266, 236, 132, 846

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

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 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 266, 236, 132, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 236, 132, 846 is 2.

Therefore, GCD of numbers 266, 236, 132, 846 is 2

Given Input Data is 266, 236, 132, 846

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 236 is 2 x 2 x 59

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(266, 236) = 31388

GCD(266, 236) = ( 266 x 236 ) / 31388

GCD(266, 236) = 62776 / 31388

GCD(266, 236) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

GCD of 266, 236, 132, 846 is 2

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1. What is the GCD of 266, 236, 132, 846?

GCD of 266, 236, 132, 846 is 2

2. Where do I get the detailed procedure to find GCD of 266, 236, 132, 846?

You can find a detailed procedure to find GCD of 266, 236, 132, 846 on our page.

3. How to find GCD of 266, 236, 132, 846 on a calculator?

You can find the GCD of 266, 236, 132, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.