GCD of 585, 996, 134, 313 Calculator

Given Input numbers are 585, 996, 134, 313

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

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 585, 996, 134, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 996, 134, 313 is 1.

Therefore, GCD of numbers 585, 996, 134, 313 is 1

Given Input Data is 585, 996, 134, 313

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 134 is 2 x 67

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(585, 996) = 194220

GCD(585, 996) = ( 585 x 996 ) / 194220

GCD(585, 996) = 582660 / 194220

GCD(585, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 134

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

LCM(3, 134) = 402

GCD(3, 134) = ( 3 x 134 ) / 402

GCD(3, 134) = 402 / 402

GCD(3, 134) = 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 585, 996, 134, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 325, 222, 198
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• GCD of 613, 988, 116, 351
• GCD of 907, 399, 587, 932
• GCD of 894, 577, 696, 832

1. What is the GCD of 585, 996, 134, 313?

GCD of 585, 996, 134, 313 is 1

2. Where do I get the detailed procedure to find GCD of 585, 996, 134, 313?

You can find a detailed procedure to find GCD of 585, 996, 134, 313 on our page.

3. How to find GCD of 585, 996, 134, 313 on a calculator?

You can find the GCD of 585, 996, 134, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.