GCD of 454, 429, 241, 698 Calculator

Given Input numbers are 454, 429, 241, 698

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

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 454, 429, 241, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 429, 241, 698 is 1.

Therefore, GCD of numbers 454, 429, 241, 698 is 1

Given Input Data is 454, 429, 241, 698

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 241 is 241

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(454, 429) = 194766

GCD(454, 429) = ( 454 x 429 ) / 194766

GCD(454, 429) = 194766 / 194766

GCD(454, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 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 454, 429, 241, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 769, 458, 278
• GCD of 391, 870, 671, 404
• GCD of 976, 800, 407, 230
• GCD of 913, 165, 164, 974
• GCD of 650, 269, 905, 356

1. What is the GCD of 454, 429, 241, 698?

GCD of 454, 429, 241, 698 is 1

2. Where do I get the detailed procedure to find GCD of 454, 429, 241, 698?

You can find a detailed procedure to find GCD of 454, 429, 241, 698 on our page.

3. How to find GCD of 454, 429, 241, 698 on a calculator?

You can find the GCD of 454, 429, 241, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.