GCD of 354, 719, 109, 279 Calculator

Given Input numbers are 354, 719, 109, 279

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 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 354, 719, 109, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 719, 109, 279 is 1.

Therefore, GCD of numbers 354, 719, 109, 279 is 1

Given Input Data is 354, 719, 109, 279

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 719 is 719

Prime Factorization of 109 is 109

Prime Factorization of 279 is 3 x 3 x 31

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, 719) = 254526

GCD(354, 719) = ( 354 x 719 ) / 254526

GCD(354, 719) = 254526 / 254526

GCD(354, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 354, 719, 109, 279 is 1

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• GCD of 259, 693, 777, 388
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1. What is the GCD of 354, 719, 109, 279?

GCD of 354, 719, 109, 279 is 1

2. Where do I get the detailed procedure to find GCD of 354, 719, 109, 279?

You can find a detailed procedure to find GCD of 354, 719, 109, 279 on our page.

3. How to find GCD of 354, 719, 109, 279 on a calculator?

You can find the GCD of 354, 719, 109, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.