GCD of 779, 428, 59, 295 Calculator

Given Input numbers are 779, 428, 59, 295

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

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 779, 428, 59, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 428, 59, 295 is 1.

Therefore, GCD of numbers 779, 428, 59, 295 is 1

Given Input Data is 779, 428, 59, 295

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 59 is 59

Prime Factorization of 295 is 5 x 59

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(779, 428) = 333412

GCD(779, 428) = ( 779 x 428 ) / 333412

GCD(779, 428) = 333412 / 333412

GCD(779, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 779, 428, 59, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 137, 15, 554
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• GCD of 881, 737, 20, 542
• GCD of 233, 319, 23, 406
• GCD of 966, 198, 54, 861

1. What is the GCD of 779, 428, 59, 295?

GCD of 779, 428, 59, 295 is 1

2. Where do I get the detailed procedure to find GCD of 779, 428, 59, 295?

You can find a detailed procedure to find GCD of 779, 428, 59, 295 on our page.

3. How to find GCD of 779, 428, 59, 295 on a calculator?

You can find the GCD of 779, 428, 59, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.