GCD of 722, 392, 402, 228 Calculator

Given Input numbers are 722, 392, 402, 228

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 722, 392, 402, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 392, 402, 228 is 2.

Therefore, GCD of numbers 722, 392, 402, 228 is 2

Given Input Data is 722, 392, 402, 228

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(722, 392) = 141512

GCD(722, 392) = ( 722 x 392 ) / 141512

GCD(722, 392) = 283024 / 141512

GCD(722, 392) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 402

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

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

GCD(2, 402) = 804 / 402

GCD(2, 402) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 722, 392, 402, 228 is 2

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1. What is the GCD of 722, 392, 402, 228?

GCD of 722, 392, 402, 228 is 2

2. Where do I get the detailed procedure to find GCD of 722, 392, 402, 228?

You can find a detailed procedure to find GCD of 722, 392, 402, 228 on our page.

3. How to find GCD of 722, 392, 402, 228 on a calculator?

You can find the GCD of 722, 392, 402, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.