GCD of 274, 267, 648, 331 Calculator

Given Input numbers are 274, 267, 648, 331

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 267

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

1, 3, 89, 267

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 274, 267, 648, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 267, 648, 331 is 1.

Therefore, GCD of numbers 274, 267, 648, 331 is 1

Given Input Data is 274, 267, 648, 331

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 267 is 3 x 89

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 331 is 331

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, 267) = 73158

GCD(274, 267) = ( 274 x 267 ) / 73158

GCD(274, 267) = 73158 / 73158

GCD(274, 267) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 274, 267, 648, 331 is 1

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1. What is the GCD of 274, 267, 648, 331?

GCD of 274, 267, 648, 331 is 1

2. Where do I get the detailed procedure to find GCD of 274, 267, 648, 331?

You can find a detailed procedure to find GCD of 274, 267, 648, 331 on our page.

3. How to find GCD of 274, 267, 648, 331 on a calculator?

You can find the GCD of 274, 267, 648, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.