GCD of 354, 221, 19, 376 Calculator

Given Input numbers are 354, 221, 19, 376

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 354, 221, 19, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 221, 19, 376 is 1.

Therefore, GCD of numbers 354, 221, 19, 376 is 1

Given Input Data is 354, 221, 19, 376

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 221 is 13 x 17

Prime Factorization of 19 is 19

Prime Factorization of 376 is 2 x 2 x 2 x 47

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, 221) = 78234

GCD(354, 221) = ( 354 x 221 ) / 78234

GCD(354, 221) = 78234 / 78234

GCD(354, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

GCD of 354, 221, 19, 376 is 1

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• GCD of 357, 735, 24, 387
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• GCD of 692, 252, 34, 714

1. What is the GCD of 354, 221, 19, 376?

GCD of 354, 221, 19, 376 is 1

2. Where do I get the detailed procedure to find GCD of 354, 221, 19, 376?

You can find a detailed procedure to find GCD of 354, 221, 19, 376 on our page.

3. How to find GCD of 354, 221, 19, 376 on a calculator?

You can find the GCD of 354, 221, 19, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.