GCD of 353, 436, 297, 742 Calculator

Given Input numbers are 353, 436, 297, 742

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 353, 436, 297, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 436, 297, 742 is 1.

Therefore, GCD of numbers 353, 436, 297, 742 is 1

Given Input Data is 353, 436, 297, 742

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

Prime Factorization of 353 is 353

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 742 is 2 x 7 x 53

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, 436) = 153908

GCD(353, 436) = ( 353 x 436 ) / 153908

GCD(353, 436) = 153908 / 153908

GCD(353, 436) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 353, 436, 297, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 302, 922, 636
• GCD of 719, 323, 952, 297
• GCD of 516, 980, 141, 731
• GCD of 539, 456, 328, 540
• GCD of 888, 339, 998, 365

1. What is the GCD of 353, 436, 297, 742?

GCD of 353, 436, 297, 742 is 1

2. Where do I get the detailed procedure to find GCD of 353, 436, 297, 742?

You can find a detailed procedure to find GCD of 353, 436, 297, 742 on our page.

3. How to find GCD of 353, 436, 297, 742 on a calculator?

You can find the GCD of 353, 436, 297, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.