GCD of 84, 568, 313, 461 Calculator

Given Input numbers are 84, 568, 313, 461

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 313

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

1, 313

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 84, 568, 313, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 568, 313, 461 is 1.

Therefore, GCD of numbers 84, 568, 313, 461 is 1

Given Input Data is 84, 568, 313, 461

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 313 is 313

Prime Factorization of 461 is 461

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(84, 568) = 11928

GCD(84, 568) = ( 84 x 568 ) / 11928

GCD(84, 568) = 47712 / 11928

GCD(84, 568) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 313

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

LCM(4, 313) = 1252

GCD(4, 313) = ( 4 x 313 ) / 1252

GCD(4, 313) = 1252 / 1252

GCD(4, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 84, 568, 313, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 908, 151, 145
• GCD of 38, 188, 486, 253
• GCD of 99, 319, 563, 201
• GCD of 51, 633, 951, 604
• GCD of 20, 722, 938, 886

1. What is the GCD of 84, 568, 313, 461?

GCD of 84, 568, 313, 461 is 1

2. Where do I get the detailed procedure to find GCD of 84, 568, 313, 461?

You can find a detailed procedure to find GCD of 84, 568, 313, 461 on our page.

3. How to find GCD of 84, 568, 313, 461 on a calculator?

You can find the GCD of 84, 568, 313, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.