GCD of 429, 352, 741, 513 Calculator

Given Input numbers are 429, 352, 741, 513

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

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

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 429, 352, 741, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 352, 741, 513 is 1.

Therefore, GCD of numbers 429, 352, 741, 513 is 1

Given Input Data is 429, 352, 741, 513

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 741 is 3 x 13 x 19

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(429, 352) = 13728

GCD(429, 352) = ( 429 x 352 ) / 13728

GCD(429, 352) = 151008 / 13728

GCD(429, 352) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 741

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

LCM(11, 741) = 8151

GCD(11, 741) = ( 11 x 741 ) / 8151

GCD(11, 741) = 8151 / 8151

GCD(11, 741) = 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 429, 352, 741, 513 is 1

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1. What is the GCD of 429, 352, 741, 513?

GCD of 429, 352, 741, 513 is 1

2. Where do I get the detailed procedure to find GCD of 429, 352, 741, 513?

You can find a detailed procedure to find GCD of 429, 352, 741, 513 on our page.

3. How to find GCD of 429, 352, 741, 513 on a calculator?

You can find the GCD of 429, 352, 741, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.