GCD of 179, 784, 721, 356 Calculator

Given Input numbers are 179, 784, 721, 356

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

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 179, 784, 721, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 784, 721, 356 is 1.

Therefore, GCD of numbers 179, 784, 721, 356 is 1

Given Input Data is 179, 784, 721, 356

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

Prime Factorization of 179 is 179

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 721 is 7 x 103

Prime Factorization of 356 is 2 x 2 x 89

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(179, 784) = 140336

GCD(179, 784) = ( 179 x 784 ) / 140336

GCD(179, 784) = 140336 / 140336

GCD(179, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 179, 784, 721, 356 is 1

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1. What is the GCD of 179, 784, 721, 356?

GCD of 179, 784, 721, 356 is 1

2. Where do I get the detailed procedure to find GCD of 179, 784, 721, 356?

You can find a detailed procedure to find GCD of 179, 784, 721, 356 on our page.

3. How to find GCD of 179, 784, 721, 356 on a calculator?

You can find the GCD of 179, 784, 721, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.