GCD of 56, 476, 719, 339 Calculator

Given Input numbers are 56, 476, 719, 339

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 719

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

1, 719

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 56, 476, 719, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 476, 719, 339 is 1.

Therefore, GCD of numbers 56, 476, 719, 339 is 1

Given Input Data is 56, 476, 719, 339

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 719 is 719

Prime Factorization of 339 is 3 x 113

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(56, 476) = 952

GCD(56, 476) = ( 56 x 476 ) / 952

GCD(56, 476) = 26656 / 952

GCD(56, 476) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 719

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

LCM(28, 719) = 20132

GCD(28, 719) = ( 28 x 719 ) / 20132

GCD(28, 719) = 20132 / 20132

GCD(28, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 56, 476, 719, 339 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 914, 201, 898
• GCD of 82, 179, 329, 938
• GCD of 87, 143, 746, 213
• GCD of 89, 604, 513, 546
• GCD of 44, 706, 502, 982

1. What is the GCD of 56, 476, 719, 339?

GCD of 56, 476, 719, 339 is 1

2. Where do I get the detailed procedure to find GCD of 56, 476, 719, 339?

You can find a detailed procedure to find GCD of 56, 476, 719, 339 on our page.

3. How to find GCD of 56, 476, 719, 339 on a calculator?

You can find the GCD of 56, 476, 719, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.