GCD of 429, 952, 393, 338 Calculator

Given Input numbers are 429, 952, 393, 338

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 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 429, 952, 393, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 952, 393, 338 is 1.

Therefore, GCD of numbers 429, 952, 393, 338 is 1

Given Input Data is 429, 952, 393, 338

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 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 393 is 3 x 131

Prime Factorization of 338 is 2 x 13 x 13

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, 952) = 408408

GCD(429, 952) = ( 429 x 952 ) / 408408

GCD(429, 952) = 408408 / 408408

GCD(429, 952) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 429, 952, 393, 338 is 1

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1. What is the GCD of 429, 952, 393, 338?

GCD of 429, 952, 393, 338 is 1

2. Where do I get the detailed procedure to find GCD of 429, 952, 393, 338?

You can find a detailed procedure to find GCD of 429, 952, 393, 338 on our page.

3. How to find GCD of 429, 952, 393, 338 on a calculator?

You can find the GCD of 429, 952, 393, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.