GCD of 279, 533, 849, 274 Calculator

Given Input numbers are 279, 533, 849, 274

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 274

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

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 279, 533, 849, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 533, 849, 274 is 1.

Therefore, GCD of numbers 279, 533, 849, 274 is 1

Given Input Data is 279, 533, 849, 274

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 533 is 13 x 41

Prime Factorization of 849 is 3 x 283

Prime Factorization of 274 is 2 x 137

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(279, 533) = 148707

GCD(279, 533) = ( 279 x 533 ) / 148707

GCD(279, 533) = 148707 / 148707

GCD(279, 533) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 279, 533, 849, 274 is 1

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1. What is the GCD of 279, 533, 849, 274?

GCD of 279, 533, 849, 274 is 1

2. Where do I get the detailed procedure to find GCD of 279, 533, 849, 274?

You can find a detailed procedure to find GCD of 279, 533, 849, 274 on our page.

3. How to find GCD of 279, 533, 849, 274 on a calculator?

You can find the GCD of 279, 533, 849, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.