GCD of 305, 701, 27, 698 Calculator

Given Input numbers are 305, 701, 27, 698

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 305, 701, 27, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 701, 27, 698 is 1.

Therefore, GCD of numbers 305, 701, 27, 698 is 1

Given Input Data is 305, 701, 27, 698

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 701 is 701

Prime Factorization of 27 is 3 x 3 x 3

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(305, 701) = 213805

GCD(305, 701) = ( 305 x 701 ) / 213805

GCD(305, 701) = 213805 / 213805

GCD(305, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 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 305, 701, 27, 698 is 1

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• GCD of 504, 279, 30, 357
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• GCD of 542, 932, 83, 896

1. What is the GCD of 305, 701, 27, 698?

GCD of 305, 701, 27, 698 is 1

2. Where do I get the detailed procedure to find GCD of 305, 701, 27, 698?

You can find a detailed procedure to find GCD of 305, 701, 27, 698 on our page.

3. How to find GCD of 305, 701, 27, 698 on a calculator?

You can find the GCD of 305, 701, 27, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.