GCD of 554, 272, 126 Calculator

Given Input numbers are 554, 272, 126

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 554, 272, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 272, 126 is 2.

Therefore, GCD of numbers 554, 272, 126 is 2

Given Input Data is 554, 272, 126

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 126 is 2 x 3 x 3 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(554, 272) = 75344

GCD(554, 272) = ( 554 x 272 ) / 75344

GCD(554, 272) = 150688 / 75344

GCD(554, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

GCD of 554, 272, 126 is 2

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1. What is the GCD of 554, 272, 126?

GCD of 554, 272, 126 is 2

2. Where do I get the detailed procedure to find GCD of 554, 272, 126?

You can find a detailed procedure to find GCD of 554, 272, 126 on our page.

3. How to find GCD of 554, 272, 126 on a calculator?

You can find the GCD of 554, 272, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.