GCD of 961, 473, 705, 867 Calculator

Given Input numbers are 961, 473, 705, 867

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 961, 473, 705, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 473, 705, 867 is 1.

Therefore, GCD of numbers 961, 473, 705, 867 is 1

Given Input Data is 961, 473, 705, 867

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 473 is 11 x 43

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 867 is 3 x 17 x 17

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(961, 473) = 454553

GCD(961, 473) = ( 961 x 473 ) / 454553

GCD(961, 473) = 454553 / 454553

GCD(961, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 961, 473, 705, 867 is 1

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1. What is the GCD of 961, 473, 705, 867?

GCD of 961, 473, 705, 867 is 1

2. Where do I get the detailed procedure to find GCD of 961, 473, 705, 867?

You can find a detailed procedure to find GCD of 961, 473, 705, 867 on our page.

3. How to find GCD of 961, 473, 705, 867 on a calculator?

You can find the GCD of 961, 473, 705, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.