GCD of 274, 553, 208, 309 Calculator

Given Input numbers are 274, 553, 208, 309

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 553

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

1, 7, 79, 553

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 274, 553, 208, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 553, 208, 309 is 1.

Therefore, GCD of numbers 274, 553, 208, 309 is 1

Given Input Data is 274, 553, 208, 309

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 553 is 7 x 79

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 309 is 3 x 103

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(274, 553) = 151522

GCD(274, 553) = ( 274 x 553 ) / 151522

GCD(274, 553) = 151522 / 151522

GCD(274, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 274, 553, 208, 309 is 1

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1. What is the GCD of 274, 553, 208, 309?

GCD of 274, 553, 208, 309 is 1

2. Where do I get the detailed procedure to find GCD of 274, 553, 208, 309?

You can find a detailed procedure to find GCD of 274, 553, 208, 309 on our page.

3. How to find GCD of 274, 553, 208, 309 on a calculator?

You can find the GCD of 274, 553, 208, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.