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 240, 153, 86, 330 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 153, 86, 330 is 1
GCD(240, 153, 86, 330) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 153, 86, 330 is 1
GCD(240, 153, 86, 330) = 1
Given Input numbers are 240, 153, 86, 330
To find the GCD of numbers using factoring list out all the divisors of each number
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 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Greatest Common Divisior
We found the divisors of 240, 153, 86, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 153, 86, 330 is 1.
Therefore, GCD of numbers 240, 153, 86, 330 is 1
Given Input Data is 240, 153, 86, 330
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 86 is 2 x 43
Prime Factorization of 330 is 2 x 3 x 5 x 11
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(240, 153) = 12240
GCD(240, 153) = ( 240 x 153 ) / 12240
GCD(240, 153) = 36720 / 12240
GCD(240, 153) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 86) = 258
GCD(3, 86) = ( 3 x 86 ) / 258
GCD(3, 86) = 258 / 258
GCD(3, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
GCD of 240, 153, 86, 330 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 153, 86, 330?
GCD of 240, 153, 86, 330 is 1
2. Where do I get the detailed procedure to find GCD of 240, 153, 86, 330?
You can find a detailed procedure to find GCD of 240, 153, 86, 330 on our page.
3. How to find GCD of 240, 153, 86, 330 on a calculator?
You can find the GCD of 240, 153, 86, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.