GCD of 47, 764, 408, 985 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 47, 764, 408, 985 i.e. 1 largest integer that divides all the numbers equally.

GCD of 47, 764, 408, 985 is 1

GCD(47, 764, 408, 985) = 1

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

GCD of

GCD of numbers 47, 764, 408, 985 is 1

GCD(47, 764, 408, 985) = 1

GCD of 47,764,408,985 Calculator

GCDof 47,764,408,985 is 1

Given Input numbers are 47, 764, 408, 985

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 47, 764, 408, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 764, 408, 985 is 1.

Therefore, GCD of numbers 47, 764, 408, 985 is 1

Finding GCD of 47, 764, 408, 985 using Prime Factorization

Given Input Data is 47, 764, 408, 985

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

Prime Factorization of 47 is 47

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 985 is 5 x 197

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

Finding GCD of 47, 764, 408, 985 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(47, 764) = 35908

GCD(47, 764) = ( 47 x 764 ) / 35908

GCD(47, 764) = 35908 / 35908

GCD(47, 764) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 47, 764, 408, 985 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 47, 764, 408, 985

1. What is the GCD of 47, 764, 408, 985?

GCD of 47, 764, 408, 985 is 1


2. Where do I get the detailed procedure to find GCD of 47, 764, 408, 985?

You can find a detailed procedure to find GCD of 47, 764, 408, 985 on our page.


3. How to find GCD of 47, 764, 408, 985 on a calculator?

You can find the GCD of 47, 764, 408, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.