GCD of 274, 508, 906, 197 Calculator

Given Input numbers are 274, 508, 906, 197

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 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 274, 508, 906, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 508, 906, 197 is 1.

Therefore, GCD of numbers 274, 508, 906, 197 is 1

Given Input Data is 274, 508, 906, 197

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 197 is 197

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, 508) = 69596

GCD(274, 508) = ( 274 x 508 ) / 69596

GCD(274, 508) = 139192 / 69596

GCD(274, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 906

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

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

GCD(2, 906) = 1812 / 906

GCD(2, 906) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 197

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

LCM(2, 197) = 394

GCD(2, 197) = ( 2 x 197 ) / 394

GCD(2, 197) = 394 / 394

GCD(2, 197) = 1

GCD of 274, 508, 906, 197 is 1

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1. What is the GCD of 274, 508, 906, 197?

GCD of 274, 508, 906, 197 is 1

2. Where do I get the detailed procedure to find GCD of 274, 508, 906, 197?

You can find a detailed procedure to find GCD of 274, 508, 906, 197 on our page.

3. How to find GCD of 274, 508, 906, 197 on a calculator?

You can find the GCD of 274, 508, 906, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.