GCD of 491, 338, 368, 278 Calculator

Given Input numbers are 491, 338, 368, 278

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 491, 338, 368, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 338, 368, 278 is 1.

Therefore, GCD of numbers 491, 338, 368, 278 is 1

Given Input Data is 491, 338, 368, 278

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

Prime Factorization of 491 is 491

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 278 is 2 x 139

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(491, 338) = 165958

GCD(491, 338) = ( 491 x 338 ) / 165958

GCD(491, 338) = 165958 / 165958

GCD(491, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 491, 338, 368, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 746, 639, 700
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• GCD of 604, 534, 652, 797
• GCD of 513, 737, 165, 183

1. What is the GCD of 491, 338, 368, 278?

GCD of 491, 338, 368, 278 is 1

2. Where do I get the detailed procedure to find GCD of 491, 338, 368, 278?

You can find a detailed procedure to find GCD of 491, 338, 368, 278 on our page.

3. How to find GCD of 491, 338, 368, 278 on a calculator?

You can find the GCD of 491, 338, 368, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.