GCD of 226, 378, 254, 196 Calculator

Given Input numbers are 226, 378, 254, 196

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 226, 378, 254, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 378, 254, 196 is 2.

Therefore, GCD of numbers 226, 378, 254, 196 is 2

Given Input Data is 226, 378, 254, 196

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 254 is 2 x 127

Prime Factorization of 196 is 2 x 2 x 7 x 7

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, 378) = 42714

GCD(226, 378) = ( 226 x 378 ) / 42714

GCD(226, 378) = 85428 / 42714

GCD(226, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 254

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

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

GCD(2, 254) = 508 / 254

GCD(2, 254) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

GCD of 226, 378, 254, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 431, 597, 890
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• GCD of 767, 154, 416, 330
• GCD of 952, 283, 481, 278
• GCD of 385, 672, 705, 113

1. What is the GCD of 226, 378, 254, 196?

GCD of 226, 378, 254, 196 is 2

2. Where do I get the detailed procedure to find GCD of 226, 378, 254, 196?

You can find a detailed procedure to find GCD of 226, 378, 254, 196 on our page.

3. How to find GCD of 226, 378, 254, 196 on a calculator?

You can find the GCD of 226, 378, 254, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.