GCD of 76, 114, 222, 724 Calculator

Given Input numbers are 76, 114, 222, 724

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 222

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

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 76, 114, 222, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 114, 222, 724 is 2.

Therefore, GCD of numbers 76, 114, 222, 724 is 2

Given Input Data is 76, 114, 222, 724

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 724 is 2 x 2 x 181

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(76, 114) = 228

GCD(76, 114) = ( 76 x 114 ) / 228

GCD(76, 114) = 8664 / 228

GCD(76, 114) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 222

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

LCM(38, 222) = 4218

GCD(38, 222) = ( 38 x 222 ) / 4218

GCD(38, 222) = 8436 / 4218

GCD(38, 222) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

GCD of 76, 114, 222, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 328, 301, 125
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• GCD of 78, 238, 606, 762

1. What is the GCD of 76, 114, 222, 724?

GCD of 76, 114, 222, 724 is 2

2. Where do I get the detailed procedure to find GCD of 76, 114, 222, 724?

You can find a detailed procedure to find GCD of 76, 114, 222, 724 on our page.

3. How to find GCD of 76, 114, 222, 724 on a calculator?

You can find the GCD of 76, 114, 222, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.