GCD of 707, 272, 973, 199 Calculator

Given Input numbers are 707, 272, 973, 199

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 707, 272, 973, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 272, 973, 199 is 1.

Therefore, GCD of numbers 707, 272, 973, 199 is 1

Given Input Data is 707, 272, 973, 199

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 973 is 7 x 139

Prime Factorization of 199 is 199

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(707, 272) = 192304

GCD(707, 272) = ( 707 x 272 ) / 192304

GCD(707, 272) = 192304 / 192304

GCD(707, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 707, 272, 973, 199 is 1

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1. What is the GCD of 707, 272, 973, 199?

GCD of 707, 272, 973, 199 is 1

2. Where do I get the detailed procedure to find GCD of 707, 272, 973, 199?

You can find a detailed procedure to find GCD of 707, 272, 973, 199 on our page.

3. How to find GCD of 707, 272, 973, 199 on a calculator?

You can find the GCD of 707, 272, 973, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.