GCD of 490, 121, 274, 254 Calculator

Given Input numbers are 490, 121, 274, 254

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 274

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

1, 2, 137, 274

Divisors of 254

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

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 490, 121, 274, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 121, 274, 254 is 1.

Therefore, GCD of numbers 490, 121, 274, 254 is 1

Given Input Data is 490, 121, 274, 254

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 121 is 11 x 11

Prime Factorization of 274 is 2 x 137

Prime Factorization of 254 is 2 x 127

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(490, 121) = 59290

GCD(490, 121) = ( 490 x 121 ) / 59290

GCD(490, 121) = 59290 / 59290

GCD(490, 121) = 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 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 490, 121, 274, 254 is 1

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• GCD of 818, 223, 216, 171
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1. What is the GCD of 490, 121, 274, 254?

GCD of 490, 121, 274, 254 is 1

2. Where do I get the detailed procedure to find GCD of 490, 121, 274, 254?

You can find a detailed procedure to find GCD of 490, 121, 274, 254 on our page.

3. How to find GCD of 490, 121, 274, 254 on a calculator?

You can find the GCD of 490, 121, 274, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.