GCD of 869, 890, 31 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 869, 890, 31 i.e. 1 largest integer that divides all the numbers equally.

GCD of 869, 890, 31 is 1

GCD(869, 890, 31) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 869, 890, 31 is 1

GCD(869, 890, 31) = 1

GCD of 869,890,31 Calculator

GCDof 869,890,31 is 1

Given Input numbers are 869, 890, 31

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 869, 890, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 890, 31 is 1.

Therefore, GCD of numbers 869, 890, 31 is 1

Finding GCD of 869, 890, 31 using Prime Factorization

Given Input Data is 869, 890, 31

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 31 is 31

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 869, 890, 31 using LCM Formula

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(869, 890) = 773410

GCD(869, 890) = ( 869 x 890 ) / 773410

GCD(869, 890) = 773410 / 773410

GCD(869, 890) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 869, 890, 31 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 869, 890, 31

1. What is the GCD of 869, 890, 31?

GCD of 869, 890, 31 is 1

2. Where do I get the detailed procedure to find GCD of 869, 890, 31?

You can find a detailed procedure to find GCD of 869, 890, 31 on our page.

3. How to find GCD of 869, 890, 31 on a calculator?

You can find the GCD of 869, 890, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.