GCD of 364, 294, 274, 260 Calculator

Given Input numbers are 364, 294, 274, 260

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 274

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

1, 2, 137, 274

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 364, 294, 274, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 294, 274, 260 is 2.

Therefore, GCD of numbers 364, 294, 274, 260 is 2

Given Input Data is 364, 294, 274, 260

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 260 is 2 x 2 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(364, 294) = 7644

GCD(364, 294) = ( 364 x 294 ) / 7644

GCD(364, 294) = 107016 / 7644

GCD(364, 294) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 274

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

LCM(14, 274) = 1918

GCD(14, 274) = ( 14 x 274 ) / 1918

GCD(14, 274) = 3836 / 1918

GCD(14, 274) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

GCD of 364, 294, 274, 260 is 2

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1. What is the GCD of 364, 294, 274, 260?

GCD of 364, 294, 274, 260 is 2

2. Where do I get the detailed procedure to find GCD of 364, 294, 274, 260?

You can find a detailed procedure to find GCD of 364, 294, 274, 260 on our page.

3. How to find GCD of 364, 294, 274, 260 on a calculator?

You can find the GCD of 364, 294, 274, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.