GCD of 240, 595, 948 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 240, 595, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 595, 948 is 1
GCD(240, 595, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 595, 948 is 1
GCD(240, 595, 948) = 1
GCDof 240,595,948 is 1
Given Input numbers are 240, 595, 948
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 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 240, 595, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 595, 948 is 1.
Therefore, GCD of numbers 240, 595, 948 is 1
Given Input Data is 240, 595, 948
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 595 is 5 x 7 x 17
Prime Factorization of 948 is 2 x 2 x 3 x 79
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 240, 595, 948 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(240, 595) = 28560
GCD(240, 595) = ( 240 x 595 ) / 28560
GCD(240, 595) = 142800 / 28560
GCD(240, 595) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 948) = 4740
GCD(5, 948) = ( 5 x 948 ) / 4740
GCD(5, 948) = 4740 / 4740
GCD(5, 948) = 1
GCD of 240, 595, 948 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 240, 595, 948
1. What is the GCD of 240, 595, 948?
GCD of 240, 595, 948 is 1
2. Where do I get the detailed procedure to find GCD of 240, 595, 948?
You can find a detailed procedure to find GCD of 240, 595, 948 on our page.
3. How to find GCD of 240, 595, 948 on a calculator?
You can find the GCD of 240, 595, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.