GCD of 500, 655, 821, 313 Calculator

Given Input numbers are 500, 655, 821, 313

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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 500, 655, 821, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 655, 821, 313 is 1.

Therefore, GCD of numbers 500, 655, 821, 313 is 1

Given Input Data is 500, 655, 821, 313

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 655 is 5 x 131

Prime Factorization of 821 is 821

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(500, 655) = 65500

GCD(500, 655) = ( 500 x 655 ) / 65500

GCD(500, 655) = 327500 / 65500

GCD(500, 655) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 821

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

LCM(5, 821) = 4105

GCD(5, 821) = ( 5 x 821 ) / 4105

GCD(5, 821) = 4105 / 4105

GCD(5, 821) = 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 500, 655, 821, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 395, 642, 351
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• GCD of 309, 953, 126, 698
• GCD of 813, 740, 496, 575
• GCD of 136, 464, 226, 430

1. What is the GCD of 500, 655, 821, 313?

GCD of 500, 655, 821, 313 is 1

2. Where do I get the detailed procedure to find GCD of 500, 655, 821, 313?

You can find a detailed procedure to find GCD of 500, 655, 821, 313 on our page.

3. How to find GCD of 500, 655, 821, 313 on a calculator?

You can find the GCD of 500, 655, 821, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.