GCD of 256, 340, 726 Calculator

Given Input numbers are 256, 340, 726

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 256, 340, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 340, 726 is 2.

Therefore, GCD of numbers 256, 340, 726 is 2

Given Input Data is 256, 340, 726

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(256, 340) = 21760

GCD(256, 340) = ( 256 x 340 ) / 21760

GCD(256, 340) = 87040 / 21760

GCD(256, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 726

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

LCM(4, 726) = 1452

GCD(4, 726) = ( 4 x 726 ) / 1452

GCD(4, 726) = 2904 / 1452

GCD(4, 726) = 2

GCD of 256, 340, 726 is 2

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1. What is the GCD of 256, 340, 726?

GCD of 256, 340, 726 is 2

2. Where do I get the detailed procedure to find GCD of 256, 340, 726?

You can find a detailed procedure to find GCD of 256, 340, 726 on our page.

3. How to find GCD of 256, 340, 726 on a calculator?

You can find the GCD of 256, 340, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.