GCD of 901, 827, 40, 101 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, 827, 40, 101 i.e. 1 largest integer that divides all the numbers equally.

GCD of 901, 827, 40, 101 is 1

GCD(901, 827, 40, 101) = 1

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

GCD of

GCD of numbers 901, 827, 40, 101 is 1

GCD(901, 827, 40, 101) = 1

GCD of 901,827,40,101 Calculator

GCDof 901,827,40,101 is 1

Given Input numbers are 901, 827, 40, 101

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 901, 827, 40, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 827, 40, 101 is 1.

Therefore, GCD of numbers 901, 827, 40, 101 is 1

Finding GCD of 901, 827, 40, 101 using Prime Factorization

Given Input Data is 901, 827, 40, 101

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 827 is 827

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 101 is 101

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

Finding GCD of 901, 827, 40, 101 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, 827) = 745127

GCD(901, 827) = ( 901 x 827 ) / 745127

GCD(901, 827) = 745127 / 745127

GCD(901, 827) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 901, 827, 40, 101 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 901, 827, 40, 101

1. What is the GCD of 901, 827, 40, 101?

GCD of 901, 827, 40, 101 is 1


2. Where do I get the detailed procedure to find GCD of 901, 827, 40, 101?

You can find a detailed procedure to find GCD of 901, 827, 40, 101 on our page.


3. How to find GCD of 901, 827, 40, 101 on a calculator?

You can find the GCD of 901, 827, 40, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.