GCD of 226, 348, 74, 402 Calculator

Given Input numbers are 226, 348, 74, 402

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 402

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

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

Greatest Common Divisior

We found the divisors of 226, 348, 74, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 348, 74, 402 is 2.

Therefore, GCD of numbers 226, 348, 74, 402 is 2

Given Input Data is 226, 348, 74, 402

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 74 is 2 x 37

Prime Factorization of 402 is 2 x 3 x 67

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(226, 348) = 39324

GCD(226, 348) = ( 226 x 348 ) / 39324

GCD(226, 348) = 78648 / 39324

GCD(226, 348) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

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

GCD of 226, 348, 74, 402 is 2

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1. What is the GCD of 226, 348, 74, 402?

GCD of 226, 348, 74, 402 is 2

2. Where do I get the detailed procedure to find GCD of 226, 348, 74, 402?

You can find a detailed procedure to find GCD of 226, 348, 74, 402 on our page.

3. How to find GCD of 226, 348, 74, 402 on a calculator?

You can find the GCD of 226, 348, 74, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.