GCD of 862, 852, 974 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, 852, 974 i.e. 2 largest integer that divides all the numbers equally.

GCD of 862, 852, 974 is 2

GCD(862, 852, 974) = 2

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

GCD of

GCD of numbers 862, 852, 974 is 2

GCD(862, 852, 974) = 2

GCD of 862,852,974 Calculator

GCDof 862,852,974 is 2

Given Input numbers are 862, 852, 974

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 862, 852, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 852, 974 is 2.

Therefore, GCD of numbers 862, 852, 974 is 2

Finding GCD of 862, 852, 974 using Prime Factorization

Given Input Data is 862, 852, 974

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 974 is 2 x 487

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 862, 852, 974 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, 852) = 367212

GCD(862, 852) = ( 862 x 852 ) / 367212

GCD(862, 852) = 734424 / 367212

GCD(862, 852) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

GCD of 862, 852, 974 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 862, 852, 974

1. What is the GCD of 862, 852, 974?

GCD of 862, 852, 974 is 2


2. Where do I get the detailed procedure to find GCD of 862, 852, 974?

You can find a detailed procedure to find GCD of 862, 852, 974 on our page.


3. How to find GCD of 862, 852, 974 on a calculator?

You can find the GCD of 862, 852, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.