GCD of 342, 402, 440, 353 Calculator

Given Input numbers are 342, 402, 440, 353

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

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 402

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

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 342, 402, 440, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 402, 440, 353 is 1.

Therefore, GCD of numbers 342, 402, 440, 353 is 1

Given Input Data is 342, 402, 440, 353

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

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 353 is 353

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(342, 402) = 22914

GCD(342, 402) = ( 342 x 402 ) / 22914

GCD(342, 402) = 137484 / 22914

GCD(342, 402) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 440

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

LCM(6, 440) = 1320

GCD(6, 440) = ( 6 x 440 ) / 1320

GCD(6, 440) = 2640 / 1320

GCD(6, 440) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

GCD of 342, 402, 440, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 550, 526, 903
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• GCD of 632, 591, 815, 463
• GCD of 222, 948, 698, 666
• GCD of 547, 746, 585, 163

1. What is the GCD of 342, 402, 440, 353?

GCD of 342, 402, 440, 353 is 1

2. Where do I get the detailed procedure to find GCD of 342, 402, 440, 353?

You can find a detailed procedure to find GCD of 342, 402, 440, 353 on our page.

3. How to find GCD of 342, 402, 440, 353 on a calculator?

You can find the GCD of 342, 402, 440, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.