GCD of 222, 993, 690, 876 Calculator

Given Input numbers are 222, 993, 690, 876

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 993

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

1, 3, 331, 993

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 222, 993, 690, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 993, 690, 876 is 3.

Therefore, GCD of numbers 222, 993, 690, 876 is 3

Given Input Data is 222, 993, 690, 876

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 993 is 3 x 331

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 876 is 2 x 2 x 3 x 73

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(222, 993) = 73482

GCD(222, 993) = ( 222 x 993 ) / 73482

GCD(222, 993) = 220446 / 73482

GCD(222, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 690

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

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

GCD(3, 690) = 2070 / 690

GCD(3, 690) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 876

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

LCM(3, 876) = 876

GCD(3, 876) = ( 3 x 876 ) / 876

GCD(3, 876) = 2628 / 876

GCD(3, 876) = 3

GCD of 222, 993, 690, 876 is 3

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1. What is the GCD of 222, 993, 690, 876?

GCD of 222, 993, 690, 876 is 3

2. Where do I get the detailed procedure to find GCD of 222, 993, 690, 876?

You can find a detailed procedure to find GCD of 222, 993, 690, 876 on our page.

3. How to find GCD of 222, 993, 690, 876 on a calculator?

You can find the GCD of 222, 993, 690, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.