GCD of 794, 270, 734, 461 Calculator

Given Input numbers are 794, 270, 734, 461

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 734

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

1, 2, 367, 734

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 794, 270, 734, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 270, 734, 461 is 1.

Therefore, GCD of numbers 794, 270, 734, 461 is 1

Given Input Data is 794, 270, 734, 461

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 734 is 2 x 367

Prime Factorization of 461 is 461

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(794, 270) = 107190

GCD(794, 270) = ( 794 x 270 ) / 107190

GCD(794, 270) = 214380 / 107190

GCD(794, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 461

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

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

GCD(2, 461) = 922 / 922

GCD(2, 461) = 1

GCD of 794, 270, 734, 461 is 1

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1. What is the GCD of 794, 270, 734, 461?

GCD of 794, 270, 734, 461 is 1

2. Where do I get the detailed procedure to find GCD of 794, 270, 734, 461?

You can find a detailed procedure to find GCD of 794, 270, 734, 461 on our page.

3. How to find GCD of 794, 270, 734, 461 on a calculator?

You can find the GCD of 794, 270, 734, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.