GCD of 274, 294, 13, 707 Calculator

Given Input numbers are 274, 294, 13, 707

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 274, 294, 13, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 294, 13, 707 is 1.

Therefore, GCD of numbers 274, 294, 13, 707 is 1

Given Input Data is 274, 294, 13, 707

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 13 is 13

Prime Factorization of 707 is 7 x 101

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, 294) = 40278

GCD(274, 294) = ( 274 x 294 ) / 40278

GCD(274, 294) = 80556 / 40278

GCD(274, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 274, 294, 13, 707 is 1

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• GCD of 132, 787, 80, 825
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1. What is the GCD of 274, 294, 13, 707?

GCD of 274, 294, 13, 707 is 1

2. Where do I get the detailed procedure to find GCD of 274, 294, 13, 707?

You can find a detailed procedure to find GCD of 274, 294, 13, 707 on our page.

3. How to find GCD of 274, 294, 13, 707 on a calculator?

You can find the GCD of 274, 294, 13, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.