GCD of 491, 994, 271, 698 Calculator

Given Input numbers are 491, 994, 271, 698

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 491, 994, 271, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 994, 271, 698 is 1.

Therefore, GCD of numbers 491, 994, 271, 698 is 1

Given Input Data is 491, 994, 271, 698

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

Prime Factorization of 491 is 491

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 271 is 271

Prime Factorization of 698 is 2 x 349

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, 994) = 488054

GCD(491, 994) = ( 491 x 994 ) / 488054

GCD(491, 994) = 488054 / 488054

GCD(491, 994) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 491, 994, 271, 698 is 1

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1. What is the GCD of 491, 994, 271, 698?

GCD of 491, 994, 271, 698 is 1

2. Where do I get the detailed procedure to find GCD of 491, 994, 271, 698?

You can find a detailed procedure to find GCD of 491, 994, 271, 698 on our page.

3. How to find GCD of 491, 994, 271, 698 on a calculator?

You can find the GCD of 491, 994, 271, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.