GCD of 262, 396, 254, 924 Calculator

Given Input numbers are 262, 396, 254, 924

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

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 262, 396, 254, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 396, 254, 924 is 2.

Therefore, GCD of numbers 262, 396, 254, 924 is 2

Given Input Data is 262, 396, 254, 924

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 254 is 2 x 127

Prime Factorization of 924 is 2 x 2 x 3 x 7 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(262, 396) = 51876

GCD(262, 396) = ( 262 x 396 ) / 51876

GCD(262, 396) = 103752 / 51876

GCD(262, 396) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 254

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

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

GCD(2, 254) = 508 / 254

GCD(2, 254) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 262, 396, 254, 924 is 2

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1. What is the GCD of 262, 396, 254, 924?

GCD of 262, 396, 254, 924 is 2

2. Where do I get the detailed procedure to find GCD of 262, 396, 254, 924?

You can find a detailed procedure to find GCD of 262, 396, 254, 924 on our page.

3. How to find GCD of 262, 396, 254, 924 on a calculator?

You can find the GCD of 262, 396, 254, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.