GCD of 353, 294, 581, 664 Calculator

Given Input numbers are 353, 294, 581, 664

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 353, 294, 581, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 294, 581, 664 is 1.

Therefore, GCD of numbers 353, 294, 581, 664 is 1

Given Input Data is 353, 294, 581, 664

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

Prime Factorization of 353 is 353

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 581 is 7 x 83

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(353, 294) = 103782

GCD(353, 294) = ( 353 x 294 ) / 103782

GCD(353, 294) = 103782 / 103782

GCD(353, 294) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 353, 294, 581, 664 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 239, 573, 299
• GCD of 673, 210, 747, 173
• GCD of 690, 147, 464, 734
• GCD of 623, 432, 854, 985
• GCD of 977, 384, 385, 498

1. What is the GCD of 353, 294, 581, 664?

GCD of 353, 294, 581, 664 is 1

2. Where do I get the detailed procedure to find GCD of 353, 294, 581, 664?

You can find a detailed procedure to find GCD of 353, 294, 581, 664 on our page.

3. How to find GCD of 353, 294, 581, 664 on a calculator?

You can find the GCD of 353, 294, 581, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.