GCD of 298, 553, 99, 267 Calculator

Given Input numbers are 298, 553, 99, 267

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 298, 553, 99, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 553, 99, 267 is 1.

Therefore, GCD of numbers 298, 553, 99, 267 is 1

Given Input Data is 298, 553, 99, 267

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 553 is 7 x 79

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 267 is 3 x 89

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(298, 553) = 164794

GCD(298, 553) = ( 298 x 553 ) / 164794

GCD(298, 553) = 164794 / 164794

GCD(298, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

GCD of 298, 553, 99, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 655, 36, 376
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1. What is the GCD of 298, 553, 99, 267?

GCD of 298, 553, 99, 267 is 1

2. Where do I get the detailed procedure to find GCD of 298, 553, 99, 267?

You can find a detailed procedure to find GCD of 298, 553, 99, 267 on our page.

3. How to find GCD of 298, 553, 99, 267 on a calculator?

You can find the GCD of 298, 553, 99, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.