GCD of 553, 385, 719, 176 Calculator

Given Input numbers are 553, 385, 719, 176

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 719

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

1, 719

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 553, 385, 719, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 385, 719, 176 is 1.

Therefore, GCD of numbers 553, 385, 719, 176 is 1

Given Input Data is 553, 385, 719, 176

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 719 is 719

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(553, 385) = 30415

GCD(553, 385) = ( 553 x 385 ) / 30415

GCD(553, 385) = 212905 / 30415

GCD(553, 385) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 719

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

LCM(7, 719) = 5033

GCD(7, 719) = ( 7 x 719 ) / 5033

GCD(7, 719) = 5033 / 5033

GCD(7, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 553, 385, 719, 176 is 1

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1. What is the GCD of 553, 385, 719, 176?

GCD of 553, 385, 719, 176 is 1

2. Where do I get the detailed procedure to find GCD of 553, 385, 719, 176?

You can find a detailed procedure to find GCD of 553, 385, 719, 176 on our page.

3. How to find GCD of 553, 385, 719, 176 on a calculator?

You can find the GCD of 553, 385, 719, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.