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, 241, 99, 620 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 241, 99, 620 is 1
GCD(240, 241, 99, 620) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 241, 99, 620 is 1
GCD(240, 241, 99, 620) = 1
Given Input numbers are 240, 241, 99, 620
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 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 240, 241, 99, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 241, 99, 620 is 1.
Therefore, GCD of numbers 240, 241, 99, 620 is 1
Given Input Data is 240, 241, 99, 620
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 241 is 241
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 620 is 2 x 2 x 5 x 31
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, 241) = 57840
GCD(240, 241) = ( 240 x 241 ) / 57840
GCD(240, 241) = 57840 / 57840
GCD(240, 241) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 620) = 620
GCD(1, 620) = ( 1 x 620 ) / 620
GCD(1, 620) = 620 / 620
GCD(1, 620) = 1
GCD of 240, 241, 99, 620 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 241, 99, 620?
GCD of 240, 241, 99, 620 is 1
2. Where do I get the detailed procedure to find GCD of 240, 241, 99, 620?
You can find a detailed procedure to find GCD of 240, 241, 99, 620 on our page.
3. How to find GCD of 240, 241, 99, 620 on a calculator?
You can find the GCD of 240, 241, 99, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.