GCD of 952, 747, 54, 824 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 952, 747, 54, 824 i.e. 1 largest integer that divides all the numbers equally.

GCD of 952, 747, 54, 824 is 1

GCD(952, 747, 54, 824) = 1

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

GCD of

GCD of numbers 952, 747, 54, 824 is 1

GCD(952, 747, 54, 824) = 1

GCD of 952,747,54,824 Calculator

GCDof 952,747,54,824 is 1

Given Input numbers are 952, 747, 54, 824

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 952, 747, 54, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 747, 54, 824 is 1.

Therefore, GCD of numbers 952, 747, 54, 824 is 1

Finding GCD of 952, 747, 54, 824 using Prime Factorization

Given Input Data is 952, 747, 54, 824

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Finding GCD of 952, 747, 54, 824 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(952, 747) = 711144

GCD(952, 747) = ( 952 x 747 ) / 711144

GCD(952, 747) = 711144 / 711144

GCD(952, 747) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 952, 747, 54, 824 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 952, 747, 54, 824

1. What is the GCD of 952, 747, 54, 824?

GCD of 952, 747, 54, 824 is 1


2. Where do I get the detailed procedure to find GCD of 952, 747, 54, 824?

You can find a detailed procedure to find GCD of 952, 747, 54, 824 on our page.


3. How to find GCD of 952, 747, 54, 824 on a calculator?

You can find the GCD of 952, 747, 54, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.