GCD of 90, 471, 240, 151 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, 471, 240, 151 i.e. 1 largest integer that divides all the numbers equally.

GCD of 90, 471, 240, 151 is 1

GCD(90, 471, 240, 151) = 1

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

GCD of

GCD of numbers 90, 471, 240, 151 is 1

GCD(90, 471, 240, 151) = 1

GCD of 90,471,240,151 Calculator

GCDof 90,471,240,151 is 1

Given Input numbers are 90, 471, 240, 151

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 90, 471, 240, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 471, 240, 151 is 1.

Therefore, GCD of numbers 90, 471, 240, 151 is 1

Finding GCD of 90, 471, 240, 151 using Prime Factorization

Given Input Data is 90, 471, 240, 151

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 471 is 3 x 157

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 151 is 151

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

Finding GCD of 90, 471, 240, 151 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, 471) = 14130

GCD(90, 471) = ( 90 x 471 ) / 14130

GCD(90, 471) = 42390 / 14130

GCD(90, 471) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 240

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

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

GCD(3, 240) = 720 / 240

GCD(3, 240) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 151

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

LCM(3, 151) = 453

GCD(3, 151) = ( 3 x 151 ) / 453

GCD(3, 151) = 453 / 453

GCD(3, 151) = 1

GCD of 90, 471, 240, 151 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 90, 471, 240, 151

1. What is the GCD of 90, 471, 240, 151?

GCD of 90, 471, 240, 151 is 1


2. Where do I get the detailed procedure to find GCD of 90, 471, 240, 151?

You can find a detailed procedure to find GCD of 90, 471, 240, 151 on our page.


3. How to find GCD of 90, 471, 240, 151 on a calculator?

You can find the GCD of 90, 471, 240, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.