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 960, 401, 240, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 401, 240, 220 is 1
GCD(960, 401, 240, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 401, 240, 220 is 1
GCD(960, 401, 240, 220) = 1
Given Input numbers are 960, 401, 240, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
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 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 960, 401, 240, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 401, 240, 220 is 1.
Therefore, GCD of numbers 960, 401, 240, 220 is 1
Given Input Data is 960, 401, 240, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 401 is 401
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 220 is 2 x 2 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(960, 401) = 384960
GCD(960, 401) = ( 960 x 401 ) / 384960
GCD(960, 401) = 384960 / 384960
GCD(960, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 960, 401, 240, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 401, 240, 220?
GCD of 960, 401, 240, 220 is 1
2. Where do I get the detailed procedure to find GCD of 960, 401, 240, 220?
You can find a detailed procedure to find GCD of 960, 401, 240, 220 on our page.
3. How to find GCD of 960, 401, 240, 220 on a calculator?
You can find the GCD of 960, 401, 240, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.