GCD of 775, 177, 20, 874 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 775, 177, 20, 874 i.e. 1 largest integer that divides all the numbers equally.

GCD of 775, 177, 20, 874 is 1

GCD(775, 177, 20, 874) = 1

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

GCD of

GCD of numbers 775, 177, 20, 874 is 1

GCD(775, 177, 20, 874) = 1

GCD of 775,177,20,874 Calculator

GCDof 775,177,20,874 is 1

Given Input numbers are 775, 177, 20, 874

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

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 775, 177, 20, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 177, 20, 874 is 1.

Therefore, GCD of numbers 775, 177, 20, 874 is 1

Finding GCD of 775, 177, 20, 874 using Prime Factorization

Given Input Data is 775, 177, 20, 874

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 177 is 3 x 59

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 874 is 2 x 19 x 23

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

Finding GCD of 775, 177, 20, 874 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(775, 177) = 137175

GCD(775, 177) = ( 775 x 177 ) / 137175

GCD(775, 177) = 137175 / 137175

GCD(775, 177) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 775, 177, 20, 874 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 775, 177, 20, 874

1. What is the GCD of 775, 177, 20, 874?

GCD of 775, 177, 20, 874 is 1


2. Where do I get the detailed procedure to find GCD of 775, 177, 20, 874?

You can find a detailed procedure to find GCD of 775, 177, 20, 874 on our page.


3. How to find GCD of 775, 177, 20, 874 on a calculator?

You can find the GCD of 775, 177, 20, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.