GCD of 253, 977, 75, 841 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 253, 977, 75, 841 i.e. 1 largest integer that divides all the numbers equally.

GCD of 253, 977, 75, 841 is 1

GCD(253, 977, 75, 841) = 1

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

GCD of

GCD of numbers 253, 977, 75, 841 is 1

GCD(253, 977, 75, 841) = 1

GCD of 253,977,75,841 Calculator

GCDof 253,977,75,841 is 1

Given Input numbers are 253, 977, 75, 841

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 253, 977, 75, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 977, 75, 841 is 1.

Therefore, GCD of numbers 253, 977, 75, 841 is 1

Finding GCD of 253, 977, 75, 841 using Prime Factorization

Given Input Data is 253, 977, 75, 841

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 977 is 977

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 841 is 29 x 29

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

Finding GCD of 253, 977, 75, 841 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(253, 977) = 247181

GCD(253, 977) = ( 253 x 977 ) / 247181

GCD(253, 977) = 247181 / 247181

GCD(253, 977) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 253, 977, 75, 841 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 253, 977, 75, 841

1. What is the GCD of 253, 977, 75, 841?

GCD of 253, 977, 75, 841 is 1


2. Where do I get the detailed procedure to find GCD of 253, 977, 75, 841?

You can find a detailed procedure to find GCD of 253, 977, 75, 841 on our page.


3. How to find GCD of 253, 977, 75, 841 on a calculator?

You can find the GCD of 253, 977, 75, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.