GCD of 910, 918, 636, 992 Calculator

Given Input numbers are 910, 918, 636, 992

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

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 910, 918, 636, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 918, 636, 992 is 2.

Therefore, GCD of numbers 910, 918, 636, 992 is 2

Given Input Data is 910, 918, 636, 992

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

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(910, 918) = 417690

GCD(910, 918) = ( 910 x 918 ) / 417690

GCD(910, 918) = 835380 / 417690

GCD(910, 918) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

GCD of 910, 918, 636, 992 is 2

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1. What is the GCD of 910, 918, 636, 992?

GCD of 910, 918, 636, 992 is 2

2. Where do I get the detailed procedure to find GCD of 910, 918, 636, 992?

You can find a detailed procedure to find GCD of 910, 918, 636, 992 on our page.

3. How to find GCD of 910, 918, 636, 992 on a calculator?

You can find the GCD of 910, 918, 636, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.