GCD of 266, 512, 156, 766 Calculator

Given Input numbers are 266, 512, 156, 766

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 266, 512, 156, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 512, 156, 766 is 2.

Therefore, GCD of numbers 266, 512, 156, 766 is 2

Given Input Data is 266, 512, 156, 766

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 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 766 is 2 x 383

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, 512) = 68096

GCD(266, 512) = ( 266 x 512 ) / 68096

GCD(266, 512) = 136192 / 68096

GCD(266, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 156

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

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

GCD(2, 156) = 312 / 156

GCD(2, 156) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 766

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

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

GCD(2, 766) = 1532 / 766

GCD(2, 766) = 2

GCD of 266, 512, 156, 766 is 2

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1. What is the GCD of 266, 512, 156, 766?

GCD of 266, 512, 156, 766 is 2

2. Where do I get the detailed procedure to find GCD of 266, 512, 156, 766?

You can find a detailed procedure to find GCD of 266, 512, 156, 766 on our page.

3. How to find GCD of 266, 512, 156, 766 on a calculator?

You can find the GCD of 266, 512, 156, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.