GCD of 721, 197, 475, 752 Calculator

Given Input numbers are 721, 197, 475, 752

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 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 721, 197, 475, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 197, 475, 752 is 1.

Therefore, GCD of numbers 721, 197, 475, 752 is 1

Given Input Data is 721, 197, 475, 752

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 197 is 197

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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, 197) = 142037

GCD(721, 197) = ( 721 x 197 ) / 142037

GCD(721, 197) = 142037 / 142037

GCD(721, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 721, 197, 475, 752 is 1

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1. What is the GCD of 721, 197, 475, 752?

GCD of 721, 197, 475, 752 is 1

2. Where do I get the detailed procedure to find GCD of 721, 197, 475, 752?

You can find a detailed procedure to find GCD of 721, 197, 475, 752 on our page.

3. How to find GCD of 721, 197, 475, 752 on a calculator?

You can find the GCD of 721, 197, 475, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.