GCD of 274, 308, 85, 326 Calculator

Given Input numbers are 274, 308, 85, 326

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

Divisors of 274

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

1, 2, 137, 274

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 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 274, 308, 85, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 308, 85, 326 is 1.

Therefore, GCD of numbers 274, 308, 85, 326 is 1

Given Input Data is 274, 308, 85, 326

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

Prime Factorization of 274 is 2 x 137

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 326 is 2 x 163

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(274, 308) = 42196

GCD(274, 308) = ( 274 x 308 ) / 42196

GCD(274, 308) = 84392 / 42196

GCD(274, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

GCD of 274, 308, 85, 326 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 187, 89, 887
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• GCD of 657, 105, 30, 189

1. What is the GCD of 274, 308, 85, 326?

GCD of 274, 308, 85, 326 is 1

2. Where do I get the detailed procedure to find GCD of 274, 308, 85, 326?

You can find a detailed procedure to find GCD of 274, 308, 85, 326 on our page.

3. How to find GCD of 274, 308, 85, 326 on a calculator?

You can find the GCD of 274, 308, 85, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.