GCD of 274, 938, 289, 313 Calculator

Given Input numbers are 274, 938, 289, 313

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 274, 938, 289, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 938, 289, 313 is 1.

Therefore, GCD of numbers 274, 938, 289, 313 is 1

Given Input Data is 274, 938, 289, 313

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 289 is 17 x 17

Prime Factorization of 313 is 313

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, 938) = 128506

GCD(274, 938) = ( 274 x 938 ) / 128506

GCD(274, 938) = 257012 / 128506

GCD(274, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 274, 938, 289, 313 is 1

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1. What is the GCD of 274, 938, 289, 313?

GCD of 274, 938, 289, 313 is 1

2. Where do I get the detailed procedure to find GCD of 274, 938, 289, 313?

You can find a detailed procedure to find GCD of 274, 938, 289, 313 on our page.

3. How to find GCD of 274, 938, 289, 313 on a calculator?

You can find the GCD of 274, 938, 289, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.