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 numbers 90, 471, 240, 151 is 1
GCD(90, 471, 240, 151) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.