GCD of 407, 665, 275, 849 Calculator

Given Input numbers are 407, 665, 275, 849

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 849

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

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 407, 665, 275, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 665, 275, 849 is 1.

Therefore, GCD of numbers 407, 665, 275, 849 is 1

Given Input Data is 407, 665, 275, 849

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 849 is 3 x 283

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(407, 665) = 270655

GCD(407, 665) = ( 407 x 665 ) / 270655

GCD(407, 665) = 270655 / 270655

GCD(407, 665) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

Step3:

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

GCD of 407, 665, 275, 849 is 1

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1. What is the GCD of 407, 665, 275, 849?

GCD of 407, 665, 275, 849 is 1

2. Where do I get the detailed procedure to find GCD of 407, 665, 275, 849?

You can find a detailed procedure to find GCD of 407, 665, 275, 849 on our page.

3. How to find GCD of 407, 665, 275, 849 on a calculator?

You can find the GCD of 407, 665, 275, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.