GCD of 845, 308, 274, 496 Calculator

Given Input numbers are 845, 308, 274, 496

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

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

Greatest Common Divisior

We found the divisors of 845, 308, 274, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 308, 274, 496 is 1.

Therefore, GCD of numbers 845, 308, 274, 496 is 1

Given Input Data is 845, 308, 274, 496

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

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 274 is 2 x 137

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

The above numbers do not have any common prime factor. So GCD is 1

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(845, 308) = 260260

GCD(845, 308) = ( 845 x 308 ) / 260260

GCD(845, 308) = 260260 / 260260

GCD(845, 308) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 845, 308, 274, 496 is 1

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1. What is the GCD of 845, 308, 274, 496?

GCD of 845, 308, 274, 496 is 1

2. Where do I get the detailed procedure to find GCD of 845, 308, 274, 496?

You can find a detailed procedure to find GCD of 845, 308, 274, 496 on our page.

3. How to find GCD of 845, 308, 274, 496 on a calculator?

You can find the GCD of 845, 308, 274, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.