GCD of 354, 488, 79, 377 Calculator

Given Input numbers are 354, 488, 79, 377

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 354, 488, 79, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 488, 79, 377 is 1.

Therefore, GCD of numbers 354, 488, 79, 377 is 1

Given Input Data is 354, 488, 79, 377

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 488 is 2 x 2 x 2 x 61

Prime Factorization of 79 is 79

Prime Factorization of 377 is 13 x 29

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, 488) = 86376

GCD(354, 488) = ( 354 x 488 ) / 86376

GCD(354, 488) = 172752 / 86376

GCD(354, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 354, 488, 79, 377 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 776, 23, 911
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• GCD of 485, 725, 22, 352

1. What is the GCD of 354, 488, 79, 377?

GCD of 354, 488, 79, 377 is 1

2. Where do I get the detailed procedure to find GCD of 354, 488, 79, 377?

You can find a detailed procedure to find GCD of 354, 488, 79, 377 on our page.

3. How to find GCD of 354, 488, 79, 377 on a calculator?

You can find the GCD of 354, 488, 79, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.