GCD of 671, 805, 45, 456 Calculator

Given Input numbers are 671, 805, 45, 456

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

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 671, 805, 45, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 671, 805, 45, 456 is 1.

Therefore, GCD of numbers 671, 805, 45, 456 is 1

Given Input Data is 671, 805, 45, 456

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

Prime Factorization of 671 is 11 x 61

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 456 is 2 x 2 x 2 x 3 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(671, 805) = 540155

GCD(671, 805) = ( 671 x 805 ) / 540155

GCD(671, 805) = 540155 / 540155

GCD(671, 805) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 671, 805, 45, 456 is 1

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1. What is the GCD of 671, 805, 45, 456?

GCD of 671, 805, 45, 456 is 1

2. Where do I get the detailed procedure to find GCD of 671, 805, 45, 456?

You can find a detailed procedure to find GCD of 671, 805, 45, 456 on our page.

3. How to find GCD of 671, 805, 45, 456 on a calculator?

You can find the GCD of 671, 805, 45, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.