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, 330, 427, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 330, 427, 952 is 1
GCD(240, 330, 427, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 330, 427, 952 is 1
GCD(240, 330, 427, 952) = 1
Given Input numbers are 240, 330, 427, 952
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 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
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 240, 330, 427, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 330, 427, 952 is 1.
Therefore, GCD of numbers 240, 330, 427, 952 is 1
Given Input Data is 240, 330, 427, 952
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 330 is 2 x 3 x 5 x 11
Prime Factorization of 427 is 7 x 61
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
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, 330) = 2640
GCD(240, 330) = ( 240 x 330 ) / 2640
GCD(240, 330) = 79200 / 2640
GCD(240, 330) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 427) = 12810
GCD(30, 427) = ( 30 x 427 ) / 12810
GCD(30, 427) = 12810 / 12810
GCD(30, 427) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 952) = 952
GCD(1, 952) = ( 1 x 952 ) / 952
GCD(1, 952) = 952 / 952
GCD(1, 952) = 1
GCD of 240, 330, 427, 952 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 330, 427, 952?
GCD of 240, 330, 427, 952 is 1
2. Where do I get the detailed procedure to find GCD of 240, 330, 427, 952?
You can find a detailed procedure to find GCD of 240, 330, 427, 952 on our page.
3. How to find GCD of 240, 330, 427, 952 on a calculator?
You can find the GCD of 240, 330, 427, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.