GCD of 354, 380, 696, 293 Calculator

Given Input numbers are 354, 380, 696, 293

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 354, 380, 696, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 380, 696, 293 is 1.

Therefore, GCD of numbers 354, 380, 696, 293 is 1

Given Input Data is 354, 380, 696, 293

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 293 is 293

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(354, 380) = 67260

GCD(354, 380) = ( 354 x 380 ) / 67260

GCD(354, 380) = 134520 / 67260

GCD(354, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 293

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

LCM(2, 293) = 586

GCD(2, 293) = ( 2 x 293 ) / 586

GCD(2, 293) = 586 / 586

GCD(2, 293) = 1

GCD of 354, 380, 696, 293 is 1

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1. What is the GCD of 354, 380, 696, 293?

GCD of 354, 380, 696, 293 is 1

2. Where do I get the detailed procedure to find GCD of 354, 380, 696, 293?

You can find a detailed procedure to find GCD of 354, 380, 696, 293 on our page.

3. How to find GCD of 354, 380, 696, 293 on a calculator?

You can find the GCD of 354, 380, 696, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.