GCD of 554, 154, 392, 297 Calculator

Given Input numbers are 554, 154, 392, 297

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 554, 154, 392, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 154, 392, 297 is 1.

Therefore, GCD of numbers 554, 154, 392, 297 is 1

Given Input Data is 554, 154, 392, 297

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 154 is 2 x 7 x 11

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

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, 154) = 42658

GCD(554, 154) = ( 554 x 154 ) / 42658

GCD(554, 154) = 85316 / 42658

GCD(554, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

GCD of 554, 154, 392, 297 is 1

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1. What is the GCD of 554, 154, 392, 297?

GCD of 554, 154, 392, 297 is 1

2. Where do I get the detailed procedure to find GCD of 554, 154, 392, 297?

You can find a detailed procedure to find GCD of 554, 154, 392, 297 on our page.

3. How to find GCD of 554, 154, 392, 297 on a calculator?

You can find the GCD of 554, 154, 392, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.