GCD of 353, 342, 60, 513 Calculator

Given Input numbers are 353, 342, 60, 513

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 353, 342, 60, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 342, 60, 513 is 1.

Therefore, GCD of numbers 353, 342, 60, 513 is 1

Given Input Data is 353, 342, 60, 513

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

Prime Factorization of 353 is 353

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 513 is 3 x 3 x 3 x 19

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, 342) = 120726

GCD(353, 342) = ( 353 x 342 ) / 120726

GCD(353, 342) = 120726 / 120726

GCD(353, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 353, 342, 60, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 279, 35, 493
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• GCD of 919, 276, 38, 503
• GCD of 799, 640, 99, 960
• GCD of 491, 851, 47, 437

1. What is the GCD of 353, 342, 60, 513?

GCD of 353, 342, 60, 513 is 1

2. Where do I get the detailed procedure to find GCD of 353, 342, 60, 513?

You can find a detailed procedure to find GCD of 353, 342, 60, 513 on our page.

3. How to find GCD of 353, 342, 60, 513 on a calculator?

You can find the GCD of 353, 342, 60, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.