GCD of 726, 920, 136, 910 Calculator

Given Input numbers are 726, 920, 136, 910

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

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 726, 920, 136, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 920, 136, 910 is 2.

Therefore, GCD of numbers 726, 920, 136, 910 is 2

Given Input Data is 726, 920, 136, 910

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

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 910 is 2 x 5 x 7 x 13

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(726, 920) = 333960

GCD(726, 920) = ( 726 x 920 ) / 333960

GCD(726, 920) = 667920 / 333960

GCD(726, 920) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 136

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

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

GCD(2, 136) = 272 / 136

GCD(2, 136) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 910

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

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

GCD(2, 910) = 1820 / 910

GCD(2, 910) = 2

GCD of 726, 920, 136, 910 is 2

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1. What is the GCD of 726, 920, 136, 910?

GCD of 726, 920, 136, 910 is 2

2. Where do I get the detailed procedure to find GCD of 726, 920, 136, 910?

You can find a detailed procedure to find GCD of 726, 920, 136, 910 on our page.

3. How to find GCD of 726, 920, 136, 910 on a calculator?

You can find the GCD of 726, 920, 136, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.