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, 337, 142, 718 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 337, 142, 718 is 1
GCD(240, 337, 142, 718) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 337, 142, 718 is 1
GCD(240, 337, 142, 718) = 1
Given Input numbers are 240, 337, 142, 718
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 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Greatest Common Divisior
We found the divisors of 240, 337, 142, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 337, 142, 718 is 1.
Therefore, GCD of numbers 240, 337, 142, 718 is 1
Given Input Data is 240, 337, 142, 718
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 337 is 337
Prime Factorization of 142 is 2 x 71
Prime Factorization of 718 is 2 x 359
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, 337) = 80880
GCD(240, 337) = ( 240 x 337 ) / 80880
GCD(240, 337) = 80880 / 80880
GCD(240, 337) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
GCD(1, 718) = 718 / 718
GCD(1, 718) = 1
GCD of 240, 337, 142, 718 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 337, 142, 718?
GCD of 240, 337, 142, 718 is 1
2. Where do I get the detailed procedure to find GCD of 240, 337, 142, 718?
You can find a detailed procedure to find GCD of 240, 337, 142, 718 on our page.
3. How to find GCD of 240, 337, 142, 718 on a calculator?
You can find the GCD of 240, 337, 142, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.