GCD of 402, 346, 952, 321 Calculator

Given Input numbers are 402, 346, 952, 321

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 402, 346, 952, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 346, 952, 321 is 1.

Therefore, GCD of numbers 402, 346, 952, 321 is 1

Given Input Data is 402, 346, 952, 321

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 346 is 2 x 173

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 321 is 3 x 107

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(402, 346) = 69546

GCD(402, 346) = ( 402 x 346 ) / 69546

GCD(402, 346) = 139092 / 69546

GCD(402, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

GCD of 402, 346, 952, 321 is 1

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1. What is the GCD of 402, 346, 952, 321?

GCD of 402, 346, 952, 321 is 1

2. Where do I get the detailed procedure to find GCD of 402, 346, 952, 321?

You can find a detailed procedure to find GCD of 402, 346, 952, 321 on our page.

3. How to find GCD of 402, 346, 952, 321 on a calculator?

You can find the GCD of 402, 346, 952, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.