GCD of 421, 898, 588, 704 Calculator

Given Input numbers are 421, 898, 588, 704

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 421, 898, 588, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 898, 588, 704 is 1.

Therefore, GCD of numbers 421, 898, 588, 704 is 1

Given Input Data is 421, 898, 588, 704

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

Prime Factorization of 421 is 421

Prime Factorization of 898 is 2 x 449

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(421, 898) = 378058

GCD(421, 898) = ( 421 x 898 ) / 378058

GCD(421, 898) = 378058 / 378058

GCD(421, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 421, 898, 588, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 826, 380, 589
• GCD of 561, 265, 466, 757
• GCD of 572, 169, 990, 734
• GCD of 574, 578, 686, 620
• GCD of 769, 834, 248, 213

1. What is the GCD of 421, 898, 588, 704?

GCD of 421, 898, 588, 704 is 1

2. Where do I get the detailed procedure to find GCD of 421, 898, 588, 704?

You can find a detailed procedure to find GCD of 421, 898, 588, 704 on our page.

3. How to find GCD of 421, 898, 588, 704 on a calculator?

You can find the GCD of 421, 898, 588, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.