GCD of 274, 554, 253, 597 Calculator

Given Input numbers are 274, 554, 253, 597

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 274, 554, 253, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 554, 253, 597 is 1.

Therefore, GCD of numbers 274, 554, 253, 597 is 1

Given Input Data is 274, 554, 253, 597

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 554 is 2 x 277

Prime Factorization of 253 is 11 x 23

Prime Factorization of 597 is 3 x 199

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, 554) = 75898

GCD(274, 554) = ( 274 x 554 ) / 75898

GCD(274, 554) = 151796 / 75898

GCD(274, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 274, 554, 253, 597 is 1

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• GCD of 850, 654, 288, 218
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1. What is the GCD of 274, 554, 253, 597?

GCD of 274, 554, 253, 597 is 1

2. Where do I get the detailed procedure to find GCD of 274, 554, 253, 597?

You can find a detailed procedure to find GCD of 274, 554, 253, 597 on our page.

3. How to find GCD of 274, 554, 253, 597 on a calculator?

You can find the GCD of 274, 554, 253, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.