GCD of 852, 941, 574, 427 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 852, 941, 574, 427 i.e. 1 largest integer that divides all the numbers equally.

GCD of 852, 941, 574, 427 is 1

GCD(852, 941, 574, 427) = 1

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

GCD of

GCD of numbers 852, 941, 574, 427 is 1

GCD(852, 941, 574, 427) = 1

GCD of 852,941,574,427 Calculator

GCDof 852,941,574,427 is 1

Given Input numbers are 852, 941, 574, 427

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

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 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 852, 941, 574, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 941, 574, 427 is 1.

Therefore, GCD of numbers 852, 941, 574, 427 is 1

Finding GCD of 852, 941, 574, 427 using Prime Factorization

Given Input Data is 852, 941, 574, 427

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

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

Prime Factorization of 941 is 941

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 427 is 7 x 61

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

Finding GCD of 852, 941, 574, 427 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(852, 941) = 801732

GCD(852, 941) = ( 852 x 941 ) / 801732

GCD(852, 941) = 801732 / 801732

GCD(852, 941) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 852, 941, 574, 427 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 852, 941, 574, 427

1. What is the GCD of 852, 941, 574, 427?

GCD of 852, 941, 574, 427 is 1


2. Where do I get the detailed procedure to find GCD of 852, 941, 574, 427?

You can find a detailed procedure to find GCD of 852, 941, 574, 427 on our page.


3. How to find GCD of 852, 941, 574, 427 on a calculator?

You can find the GCD of 852, 941, 574, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.