GCD of 775, 902, 152, 899 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, 902, 152, 899 i.e. 1 largest integer that divides all the numbers equally.

GCD of 775, 902, 152, 899 is 1

GCD(775, 902, 152, 899) = 1

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

GCD of

GCD of numbers 775, 902, 152, 899 is 1

GCD(775, 902, 152, 899) = 1

GCD of 775,902,152,899 Calculator

GCDof 775,902,152,899 is 1

Given Input numbers are 775, 902, 152, 899

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 899

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

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 775, 902, 152, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 902, 152, 899 is 1.

Therefore, GCD of numbers 775, 902, 152, 899 is 1

Finding GCD of 775, 902, 152, 899 using Prime Factorization

Given Input Data is 775, 902, 152, 899

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 902 is 2 x 11 x 41

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 899 is 29 x 31

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

Finding GCD of 775, 902, 152, 899 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, 902) = 699050

GCD(775, 902) = ( 775 x 902 ) / 699050

GCD(775, 902) = 699050 / 699050

GCD(775, 902) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 775, 902, 152, 899 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 775, 902, 152, 899

1. What is the GCD of 775, 902, 152, 899?

GCD of 775, 902, 152, 899 is 1


2. Where do I get the detailed procedure to find GCD of 775, 902, 152, 899?

You can find a detailed procedure to find GCD of 775, 902, 152, 899 on our page.


3. How to find GCD of 775, 902, 152, 899 on a calculator?

You can find the GCD of 775, 902, 152, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.