GCD of 862, 940, 311, 142 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 862, 940, 311, 142 i.e. 1 largest integer that divides all the numbers equally.

GCD of 862, 940, 311, 142 is 1

GCD(862, 940, 311, 142) = 1

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

GCD of

GCD of numbers 862, 940, 311, 142 is 1

GCD(862, 940, 311, 142) = 1

GCD of 862,940,311,142 Calculator

GCDof 862,940,311,142 is 1

Given Input numbers are 862, 940, 311, 142

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

Divisors of 862

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

1, 2, 431, 862

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 862, 940, 311, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 940, 311, 142 is 1.

Therefore, GCD of numbers 862, 940, 311, 142 is 1

Finding GCD of 862, 940, 311, 142 using Prime Factorization

Given Input Data is 862, 940, 311, 142

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 311 is 311

Prime Factorization of 142 is 2 x 71

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

Finding GCD of 862, 940, 311, 142 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(862, 940) = 405140

GCD(862, 940) = ( 862 x 940 ) / 405140

GCD(862, 940) = 810280 / 405140

GCD(862, 940) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 862, 940, 311, 142 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 862, 940, 311, 142

1. What is the GCD of 862, 940, 311, 142?

GCD of 862, 940, 311, 142 is 1


2. Where do I get the detailed procedure to find GCD of 862, 940, 311, 142?

You can find a detailed procedure to find GCD of 862, 940, 311, 142 on our page.


3. How to find GCD of 862, 940, 311, 142 on a calculator?

You can find the GCD of 862, 940, 311, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.