GCD of 86, 961, 800, 380 Calculator

Given Input numbers are 86, 961, 800, 380

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 961

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

1, 31, 961

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 86, 961, 800, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 961, 800, 380 is 1.

Therefore, GCD of numbers 86, 961, 800, 380 is 1

Given Input Data is 86, 961, 800, 380

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 961 is 31 x 31

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 380 is 2 x 2 x 5 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(86, 961) = 82646

GCD(86, 961) = ( 86 x 961 ) / 82646

GCD(86, 961) = 82646 / 82646

GCD(86, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 86, 961, 800, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 691, 420, 632
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• GCD of 70, 951, 110, 192

1. What is the GCD of 86, 961, 800, 380?

GCD of 86, 961, 800, 380 is 1

2. Where do I get the detailed procedure to find GCD of 86, 961, 800, 380?

You can find a detailed procedure to find GCD of 86, 961, 800, 380 on our page.

3. How to find GCD of 86, 961, 800, 380 on a calculator?

You can find the GCD of 86, 961, 800, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.