GCD of 901, 899, 347, 772 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 901, 899, 347, 772 i.e. 1 largest integer that divides all the numbers equally.

GCD of 901, 899, 347, 772 is 1

GCD(901, 899, 347, 772) = 1

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

GCD of

GCD of numbers 901, 899, 347, 772 is 1

GCD(901, 899, 347, 772) = 1

GCD of 901,899,347,772 Calculator

GCDof 901,899,347,772 is 1

Given Input numbers are 901, 899, 347, 772

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 901, 899, 347, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 899, 347, 772 is 1.

Therefore, GCD of numbers 901, 899, 347, 772 is 1

Finding GCD of 901, 899, 347, 772 using Prime Factorization

Given Input Data is 901, 899, 347, 772

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 899 is 29 x 31

Prime Factorization of 347 is 347

Prime Factorization of 772 is 2 x 2 x 193

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

Finding GCD of 901, 899, 347, 772 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(901, 899) = 809999

GCD(901, 899) = ( 901 x 899 ) / 809999

GCD(901, 899) = 809999 / 809999

GCD(901, 899) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 901, 899, 347, 772 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 901, 899, 347, 772

1. What is the GCD of 901, 899, 347, 772?

GCD of 901, 899, 347, 772 is 1


2. Where do I get the detailed procedure to find GCD of 901, 899, 347, 772?

You can find a detailed procedure to find GCD of 901, 899, 347, 772 on our page.


3. How to find GCD of 901, 899, 347, 772 on a calculator?

You can find the GCD of 901, 899, 347, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.