GCD of 461, 242, 694, 698 Calculator

Given Input numbers are 461, 242, 694, 698

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 461, 242, 694, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 242, 694, 698 is 1.

Therefore, GCD of numbers 461, 242, 694, 698 is 1

Given Input Data is 461, 242, 694, 698

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

Prime Factorization of 461 is 461

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 694 is 2 x 347

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(461, 242) = 111562

GCD(461, 242) = ( 461 x 242 ) / 111562

GCD(461, 242) = 111562 / 111562

GCD(461, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 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 461, 242, 694, 698 is 1

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1. What is the GCD of 461, 242, 694, 698?

GCD of 461, 242, 694, 698 is 1

2. Where do I get the detailed procedure to find GCD of 461, 242, 694, 698?

You can find a detailed procedure to find GCD of 461, 242, 694, 698 on our page.

3. How to find GCD of 461, 242, 694, 698 on a calculator?

You can find the GCD of 461, 242, 694, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.