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, 959, 22, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 959, 22, 495 is 1
GCD(240, 959, 22, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 959, 22, 495 is 1
GCD(240, 959, 22, 495) = 1
Given Input numbers are 240, 959, 22, 495
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 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 240, 959, 22, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 959, 22, 495 is 1.
Therefore, GCD of numbers 240, 959, 22, 495 is 1
Given Input Data is 240, 959, 22, 495
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 959 is 7 x 137
Prime Factorization of 22 is 2 x 11
Prime Factorization of 495 is 3 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, 959) = 230160
GCD(240, 959) = ( 240 x 959 ) / 230160
GCD(240, 959) = 230160 / 230160
GCD(240, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
GCD of 240, 959, 22, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 959, 22, 495?
GCD of 240, 959, 22, 495 is 1
2. Where do I get the detailed procedure to find GCD of 240, 959, 22, 495?
You can find a detailed procedure to find GCD of 240, 959, 22, 495 on our page.
3. How to find GCD of 240, 959, 22, 495 on a calculator?
You can find the GCD of 240, 959, 22, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.