GCD of 79, 676, 319, 838 Calculator

Given Input numbers are 79, 676, 319, 838

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

Divisors of 79

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

1, 79

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 79, 676, 319, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 676, 319, 838 is 1.

Therefore, GCD of numbers 79, 676, 319, 838 is 1

Given Input Data is 79, 676, 319, 838

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

Prime Factorization of 79 is 79

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 319 is 11 x 29

Prime Factorization of 838 is 2 x 419

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(79, 676) = 53404

GCD(79, 676) = ( 79 x 676 ) / 53404

GCD(79, 676) = 53404 / 53404

GCD(79, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 79, 676, 319, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 766, 891, 927
• GCD of 24, 858, 852, 419
• GCD of 34, 353, 346, 835
• GCD of 44, 347, 301, 598
• GCD of 74, 257, 858, 794

1. What is the GCD of 79, 676, 319, 838?

GCD of 79, 676, 319, 838 is 1

2. Where do I get the detailed procedure to find GCD of 79, 676, 319, 838?

You can find a detailed procedure to find GCD of 79, 676, 319, 838 on our page.

3. How to find GCD of 79, 676, 319, 838 on a calculator?

You can find the GCD of 79, 676, 319, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.