GCD of 274, 734, 855 Calculator

Given Input numbers are 274, 734, 855

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 274, 734, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 734, 855 is 1.

Therefore, GCD of numbers 274, 734, 855 is 1

Given Input Data is 274, 734, 855

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 734 is 2 x 367

Prime Factorization of 855 is 3 x 3 x 5 x 19

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, 734) = 100558

GCD(274, 734) = ( 274 x 734 ) / 100558

GCD(274, 734) = 201116 / 100558

GCD(274, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 855

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

LCM(2, 855) = 1710

GCD(2, 855) = ( 2 x 855 ) / 1710

GCD(2, 855) = 1710 / 1710

GCD(2, 855) = 1

GCD of 274, 734, 855 is 1

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1. What is the GCD of 274, 734, 855?

GCD of 274, 734, 855 is 1

2. Where do I get the detailed procedure to find GCD of 274, 734, 855?

You can find a detailed procedure to find GCD of 274, 734, 855 on our page.

3. How to find GCD of 274, 734, 855 on a calculator?

You can find the GCD of 274, 734, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.