GCD of 654, 938, 96, 226 Calculator

Given Input numbers are 654, 938, 96, 226

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 654, 938, 96, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 938, 96, 226 is 2.

Therefore, GCD of numbers 654, 938, 96, 226 is 2

Given Input Data is 654, 938, 96, 226

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 226 is 2 x 113

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(654, 938) = 306726

GCD(654, 938) = ( 654 x 938 ) / 306726

GCD(654, 938) = 613452 / 306726

GCD(654, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 654, 938, 96, 226 is 2

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1. What is the GCD of 654, 938, 96, 226?

GCD of 654, 938, 96, 226 is 2

2. Where do I get the detailed procedure to find GCD of 654, 938, 96, 226?

You can find a detailed procedure to find GCD of 654, 938, 96, 226 on our page.

3. How to find GCD of 654, 938, 96, 226 on a calculator?

You can find the GCD of 654, 938, 96, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.