GCD of 920, 414, 961 Calculator

Given Input numbers are 920, 414, 961

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 961

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

1, 31, 961

Greatest Common Divisior

We found the divisors of 920, 414, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 414, 961 is 1.

Therefore, GCD of numbers 920, 414, 961 is 1

Given Input Data is 920, 414, 961

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 961 is 31 x 31

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(920, 414) = 8280

GCD(920, 414) = ( 920 x 414 ) / 8280

GCD(920, 414) = 380880 / 8280

GCD(920, 414) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 961

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

LCM(46, 961) = 44206

GCD(46, 961) = ( 46 x 961 ) / 44206

GCD(46, 961) = 44206 / 44206

GCD(46, 961) = 1

GCD of 920, 414, 961 is 1

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1. What is the GCD of 920, 414, 961?

GCD of 920, 414, 961 is 1

2. Where do I get the detailed procedure to find GCD of 920, 414, 961?

You can find a detailed procedure to find GCD of 920, 414, 961 on our page.

3. How to find GCD of 920, 414, 961 on a calculator?

You can find the GCD of 920, 414, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.