GCD of 993, 114, 87, 886 Calculator

Given Input numbers are 993, 114, 87, 886

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 993, 114, 87, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 114, 87, 886 is 1.

Therefore, GCD of numbers 993, 114, 87, 886 is 1

Given Input Data is 993, 114, 87, 886

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 87 is 3 x 29

Prime Factorization of 886 is 2 x 443

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(993, 114) = 37734

GCD(993, 114) = ( 993 x 114 ) / 37734

GCD(993, 114) = 113202 / 37734

GCD(993, 114) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 886

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

LCM(3, 886) = 2658

GCD(3, 886) = ( 3 x 886 ) / 2658

GCD(3, 886) = 2658 / 2658

GCD(3, 886) = 1

GCD of 993, 114, 87, 886 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 997, 81, 449
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• GCD of 623, 346, 20, 266
• GCD of 708, 344, 93, 556
• GCD of 289, 841, 89, 485

1. What is the GCD of 993, 114, 87, 886?

GCD of 993, 114, 87, 886 is 1

2. Where do I get the detailed procedure to find GCD of 993, 114, 87, 886?

You can find a detailed procedure to find GCD of 993, 114, 87, 886 on our page.

3. How to find GCD of 993, 114, 87, 886 on a calculator?

You can find the GCD of 993, 114, 87, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.