GCD of 58, 696, 931, 727 Calculator

Given Input numbers are 58, 696, 931, 727

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

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 58, 696, 931, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 696, 931, 727 is 1.

Therefore, GCD of numbers 58, 696, 931, 727 is 1

Given Input Data is 58, 696, 931, 727

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 931 is 7 x 7 x 19

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(58, 696) = 696

GCD(58, 696) = ( 58 x 696 ) / 696

GCD(58, 696) = 40368 / 696

GCD(58, 696) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 931

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

LCM(58, 931) = 53998

GCD(58, 931) = ( 58 x 931 ) / 53998

GCD(58, 931) = 53998 / 53998

GCD(58, 931) = 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 58, 696, 931, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 982, 598, 940
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• GCD of 24, 315, 795, 993
• GCD of 91, 106, 774, 945
• GCD of 67, 309, 457, 842

1. What is the GCD of 58, 696, 931, 727?

GCD of 58, 696, 931, 727 is 1

2. Where do I get the detailed procedure to find GCD of 58, 696, 931, 727?

You can find a detailed procedure to find GCD of 58, 696, 931, 727 on our page.

3. How to find GCD of 58, 696, 931, 727 on a calculator?

You can find the GCD of 58, 696, 931, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.