GCD of 725, 858, 76, 313 Calculator

Given Input numbers are 725, 858, 76, 313

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 725, 858, 76, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 858, 76, 313 is 1.

Therefore, GCD of numbers 725, 858, 76, 313 is 1

Given Input Data is 725, 858, 76, 313

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 313 is 313

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(725, 858) = 622050

GCD(725, 858) = ( 725 x 858 ) / 622050

GCD(725, 858) = 622050 / 622050

GCD(725, 858) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 725, 858, 76, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 704, 59, 638
• GCD of 524, 420, 65, 280
• GCD of 883, 225, 78, 554
• GCD of 461, 961, 30, 775
• GCD of 231, 960, 61, 338

1. What is the GCD of 725, 858, 76, 313?

GCD of 725, 858, 76, 313 is 1

2. Where do I get the detailed procedure to find GCD of 725, 858, 76, 313?

You can find a detailed procedure to find GCD of 725, 858, 76, 313 on our page.

3. How to find GCD of 725, 858, 76, 313 on a calculator?

You can find the GCD of 725, 858, 76, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.