GCD of 36, 418, 914, 782 Calculator

Given Input numbers are 36, 418, 914, 782

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 36, 418, 914, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 418, 914, 782 is 2.

Therefore, GCD of numbers 36, 418, 914, 782 is 2

Given Input Data is 36, 418, 914, 782

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 914 is 2 x 457

Prime Factorization of 782 is 2 x 17 x 23

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(36, 418) = 7524

GCD(36, 418) = ( 36 x 418 ) / 7524

GCD(36, 418) = 15048 / 7524

GCD(36, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 914

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

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

GCD(2, 914) = 1828 / 914

GCD(2, 914) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 782

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

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

GCD(2, 782) = 1564 / 782

GCD(2, 782) = 2

GCD of 36, 418, 914, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 368, 655, 505
• GCD of 26, 980, 736, 301
• GCD of 52, 492, 344, 152
• GCD of 92, 858, 434, 368
• GCD of 90, 459, 517, 599

1. What is the GCD of 36, 418, 914, 782?

GCD of 36, 418, 914, 782 is 2

2. Where do I get the detailed procedure to find GCD of 36, 418, 914, 782?

You can find a detailed procedure to find GCD of 36, 418, 914, 782 on our page.

3. How to find GCD of 36, 418, 914, 782 on a calculator?

You can find the GCD of 36, 418, 914, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.