GCD of 51, 680, 727, 597 Calculator

Given Input numbers are 51, 680, 727, 597

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 51, 680, 727, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 680, 727, 597 is 1.

Therefore, GCD of numbers 51, 680, 727, 597 is 1

Given Input Data is 51, 680, 727, 597

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 727 is 727

Prime Factorization of 597 is 3 x 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(51, 680) = 2040

GCD(51, 680) = ( 51 x 680 ) / 2040

GCD(51, 680) = 34680 / 2040

GCD(51, 680) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 727

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

LCM(17, 727) = 12359

GCD(17, 727) = ( 17 x 727 ) / 12359

GCD(17, 727) = 12359 / 12359

GCD(17, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 51, 680, 727, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 128, 968, 407
• GCD of 56, 953, 711, 635
• GCD of 74, 770, 651, 519
• GCD of 57, 327, 825, 171
• GCD of 49, 584, 724, 330

1. What is the GCD of 51, 680, 727, 597?

GCD of 51, 680, 727, 597 is 1

2. Where do I get the detailed procedure to find GCD of 51, 680, 727, 597?

You can find a detailed procedure to find GCD of 51, 680, 727, 597 on our page.

3. How to find GCD of 51, 680, 727, 597 on a calculator?

You can find the GCD of 51, 680, 727, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.