GCD of 10, 862, 111, 989 Calculator

Given Input numbers are 10, 862, 111, 989

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 10, 862, 111, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 862, 111, 989 is 1.

Therefore, GCD of numbers 10, 862, 111, 989 is 1

Given Input Data is 10, 862, 111, 989

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 862 is 2 x 431

Prime Factorization of 111 is 3 x 37

Prime Factorization of 989 is 23 x 43

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(10, 862) = 4310

GCD(10, 862) = ( 10 x 862 ) / 4310

GCD(10, 862) = 8620 / 4310

GCD(10, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 111

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

LCM(2, 111) = 222

GCD(2, 111) = ( 2 x 111 ) / 222

GCD(2, 111) = 222 / 222

GCD(2, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 10, 862, 111, 989 is 1

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1. What is the GCD of 10, 862, 111, 989?

GCD of 10, 862, 111, 989 is 1

2. Where do I get the detailed procedure to find GCD of 10, 862, 111, 989?

You can find a detailed procedure to find GCD of 10, 862, 111, 989 on our page.

3. How to find GCD of 10, 862, 111, 989 on a calculator?

You can find the GCD of 10, 862, 111, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.