GCD of 354, 993, 878, 254 Calculator

Given Input numbers are 354, 993, 878, 254

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 354, 993, 878, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 993, 878, 254 is 1.

Therefore, GCD of numbers 354, 993, 878, 254 is 1

Given Input Data is 354, 993, 878, 254

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 993 is 3 x 331

Prime Factorization of 878 is 2 x 439

Prime Factorization of 254 is 2 x 127

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, 993) = 117174

GCD(354, 993) = ( 354 x 993 ) / 117174

GCD(354, 993) = 351522 / 117174

GCD(354, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 878

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

LCM(3, 878) = 2634

GCD(3, 878) = ( 3 x 878 ) / 2634

GCD(3, 878) = 2634 / 2634

GCD(3, 878) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 354, 993, 878, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 915, 735, 664
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• GCD of 691, 786, 729, 403
• GCD of 401, 135, 132, 626

1. What is the GCD of 354, 993, 878, 254?

GCD of 354, 993, 878, 254 is 1

2. Where do I get the detailed procedure to find GCD of 354, 993, 878, 254?

You can find a detailed procedure to find GCD of 354, 993, 878, 254 on our page.

3. How to find GCD of 354, 993, 878, 254 on a calculator?

You can find the GCD of 354, 993, 878, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.