GCD of 51, 958, 310, 727 Calculator

Given Input numbers are 51, 958, 310, 727

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 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 727

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

1, 727

Greatest Common Divisior

We found the divisors of 51, 958, 310, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 958, 310, 727 is 1.

Therefore, GCD of numbers 51, 958, 310, 727 is 1

Given Input Data is 51, 958, 310, 727

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 958 is 2 x 479

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 727 is 727

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, 958) = 48858

GCD(51, 958) = ( 51 x 958 ) / 48858

GCD(51, 958) = 48858 / 48858

GCD(51, 958) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 51, 958, 310, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 685, 880, 821
• GCD of 85, 284, 976, 821
• GCD of 34, 151, 229, 497
• GCD of 85, 934, 835, 888
• GCD of 26, 896, 282, 727

1. What is the GCD of 51, 958, 310, 727?

GCD of 51, 958, 310, 727 is 1

2. Where do I get the detailed procedure to find GCD of 51, 958, 310, 727?

You can find a detailed procedure to find GCD of 51, 958, 310, 727 on our page.

3. How to find GCD of 51, 958, 310, 727 on a calculator?

You can find the GCD of 51, 958, 310, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.