GCD of 908, 562, 272, 932 Calculator

Given Input numbers are 908, 562, 272, 932

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Greatest Common Divisior

We found the divisors of 908, 562, 272, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 562, 272, 932 is 2.

Therefore, GCD of numbers 908, 562, 272, 932 is 2

Given Input Data is 908, 562, 272, 932

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 562 is 2 x 281

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 932 is 2 x 2 x 233

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(908, 562) = 255148

GCD(908, 562) = ( 908 x 562 ) / 255148

GCD(908, 562) = 510296 / 255148

GCD(908, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 272

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

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

GCD(2, 272) = 544 / 272

GCD(2, 272) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 932

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

LCM(2, 932) = 932

GCD(2, 932) = ( 2 x 932 ) / 932

GCD(2, 932) = 1864 / 932

GCD(2, 932) = 2

GCD of 908, 562, 272, 932 is 2

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1. What is the GCD of 908, 562, 272, 932?

GCD of 908, 562, 272, 932 is 2

2. Where do I get the detailed procedure to find GCD of 908, 562, 272, 932?

You can find a detailed procedure to find GCD of 908, 562, 272, 932 on our page.

3. How to find GCD of 908, 562, 272, 932 on a calculator?

You can find the GCD of 908, 562, 272, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.