GCD of 90, 378, 925, 775 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 90, 378, 925, 775 i.e. 1 largest integer that divides all the numbers equally.

GCD of 90, 378, 925, 775 is 1

GCD(90, 378, 925, 775) = 1

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

GCD of

GCD of numbers 90, 378, 925, 775 is 1

GCD(90, 378, 925, 775) = 1

GCD of 90,378,925,775 Calculator

GCDof 90,378,925,775 is 1

Given Input numbers are 90, 378, 925, 775

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 775

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

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 90, 378, 925, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 378, 925, 775 is 1.

Therefore, GCD of numbers 90, 378, 925, 775 is 1

Finding GCD of 90, 378, 925, 775 using Prime Factorization

Given Input Data is 90, 378, 925, 775

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 775 is 5 x 5 x 31

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

Finding GCD of 90, 378, 925, 775 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(90, 378) = 1890

GCD(90, 378) = ( 90 x 378 ) / 1890

GCD(90, 378) = 34020 / 1890

GCD(90, 378) = 18


Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 925

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

LCM(18, 925) = 16650

GCD(18, 925) = ( 18 x 925 ) / 16650

GCD(18, 925) = 16650 / 16650

GCD(18, 925) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 90, 378, 925, 775 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 90, 378, 925, 775

1. What is the GCD of 90, 378, 925, 775?

GCD of 90, 378, 925, 775 is 1


2. Where do I get the detailed procedure to find GCD of 90, 378, 925, 775?

You can find a detailed procedure to find GCD of 90, 378, 925, 775 on our page.


3. How to find GCD of 90, 378, 925, 775 on a calculator?

You can find the GCD of 90, 378, 925, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.