GCD of 342, 258, 56, 693 Calculator

Given Input numbers are 342, 258, 56, 693

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 342, 258, 56, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 258, 56, 693 is 1.

Therefore, GCD of numbers 342, 258, 56, 693 is 1

Given Input Data is 342, 258, 56, 693

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 258 is 2 x 3 x 43

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 693 is 3 x 3 x 7 x 11

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, 258) = 14706

GCD(342, 258) = ( 342 x 258 ) / 14706

GCD(342, 258) = 88236 / 14706

GCD(342, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 56

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

LCM(6, 56) = 168

GCD(6, 56) = ( 6 x 56 ) / 168

GCD(6, 56) = 336 / 168

GCD(6, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

GCD of 342, 258, 56, 693 is 1

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1. What is the GCD of 342, 258, 56, 693?

GCD of 342, 258, 56, 693 is 1

2. Where do I get the detailed procedure to find GCD of 342, 258, 56, 693?

You can find a detailed procedure to find GCD of 342, 258, 56, 693 on our page.

3. How to find GCD of 342, 258, 56, 693 on a calculator?

You can find the GCD of 342, 258, 56, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.