GCD of 721, 698, 638, 177 Calculator

Given Input numbers are 721, 698, 638, 177

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

Divisors of 721

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

1, 7, 103, 721

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 721, 698, 638, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 698, 638, 177 is 1.

Therefore, GCD of numbers 721, 698, 638, 177 is 1

Given Input Data is 721, 698, 638, 177

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 698 is 2 x 349

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 177 is 3 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(721, 698) = 503258

GCD(721, 698) = ( 721 x 698 ) / 503258

GCD(721, 698) = 503258 / 503258

GCD(721, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 721, 698, 638, 177 is 1

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1. What is the GCD of 721, 698, 638, 177?

GCD of 721, 698, 638, 177 is 1

2. Where do I get the detailed procedure to find GCD of 721, 698, 638, 177?

You can find a detailed procedure to find GCD of 721, 698, 638, 177 on our page.

3. How to find GCD of 721, 698, 638, 177 on a calculator?

You can find the GCD of 721, 698, 638, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.